Differentiate y xcos(2x 2 ( x 1 2 3 Differentiate f (x sinx f (x cos(1 + x - 2*xˆ2 + x*(-1 + 4*x*sin(1 + x - 2*xˆ2 Differentiate y -24*cot(x*csc(xˆ3 3 + tanx 100 Differentiate G(t (cost 4 1 (sec(xˆ2/(2*sqrt(3 + tan(x G (t Differentiate y ln(x + 3 x 2 1/(xˆ2*(3 + x - (2*ln(3 + x/xˆ3 Differentiate y cosq + (sinq 2 dq -sin(q+2*cos(q*sin(q ( 1 Differentiate y ln (-2*t/(5 + tˆ2 t 2 + 5 Differentiate y e x + ln(2x (eˆx + xˆ(-1/(2*sqrt(eˆx + ln(2*x Differentiate y x 4 ln(4.7x xˆ3 + 4*xˆ3*ln(4.7*x Differentiate y (t 1 2 cos(2t 1 + 3 (400*cos(tˆ3*sin(t/(-1 + cos(tˆ4ˆ2 Differentiate f (x lnx + ex 2 f (x 2*e*x + 1/(2*x*sqrt(ln(x Differentiate F(s ln ( cos(2s + 2 F (s (-2*sin(2*s/(2 + cos(2*s Differentiate f (q (cos(q + π 2 3 f (q -3*cos(q*sin(qˆ2 Differentiate f (x 2 3 cos( x 2x f (x (2*(2-1/(2*sqrt(x*sin(sqrt(x - 2*x/3 ( e Differentiate f (x ln x 2 f (x -2/x ( 1 Differentiate B(t ln 9t 3 + 3t 2 + 2 B (t (2*(-1 + t/(3 + cos(1-2*t - (2*(-1 + tˆ2*sin(1-2*t/(3-1*(9*tˆ(3 + cos(1+ -3*tˆ(2 2*tˆ2+ sqrt(2ˆ(-1*(27*tˆ2 + 6*t Differentiate g(x sin(2 x g (x ln(2*2ˆx*cos(2ˆx Differentiate f (x tan(e x f (x eˆx*sec(eˆxˆ2 Differentiate g(z (e 3 sin(5z 2 7z 6 g (z (eˆ3*cos(5*zˆ(2-7*z - 6*(10*z - 7 Differentiate h(x 2cos(x 3/2 h (x (-3*xˆ(1/2*sin(xˆ(3/2 1
Differentiate R dq (q + e4 sin(3q 7 (4*(q + eˆ(3*sin(3*q - 7-3*(q + eˆ(4*cos(3*q - 7 / (sin(3*q - 7ˆ(2 Differentiate H dz z 3 ln(z 2 + 4 Differentiate B(t (sin( π 4 tan( 9t2 1 3 (3*zˆ(2*ln(zˆ(2 + 4-2*zˆ(4*(zˆ(2 + 4ˆ(-1 / (ln(zˆ(2 B (t + 4ˆ(2 Differentiate L(z (tan(10z 7 5/4 L (z Differentiate L(t 4cos(t 4 (25/2*(tan(10*z - 7ˆ(1/4*(1 / (cos(10*z - 7ˆ(2 L (t (2p 11/4 Differentiate h(p cos(p + 5 h (p ((1/2*(2*p - 1ˆ(-3/4*cos(p + 5 + (2*p - 1ˆ(1/4*sin(p + f 5 (x / (cos(p + 5ˆ(2 ( 1 7*(5/4*10*cos(10*xˆ(-9/4*sin(10*x Differentiate f (y ln y 3 π 3 f (y Differentiate R 6tan(x 5/4 (-1/(yˆ3 - piˆ3*3*yˆ2 Differentiate y sin(t (tan(t 3/8 cos(t - (3/8*(tan(tˆ(-5/8*(1 / (cos(tˆ(2 ( 10 Differentiate y ln s 2 ds -2*(1/s Differentiate B(p (cos(9p 5 3/2 B (p (-27/2*(cos(9*p - 5ˆ(1/2*sin(9*p - 5 Differentiate C(y y 2 + ln(9y C (y 2*y + (yˆ(-1 Differentiate g(x 3tan(10x 2 9 g (x 60*x*(1 / (cos(10*xˆ(2-9ˆ(2 2 Differentiate f (q 9ln(q 3/2 + 1 f (q (-27/2*qˆ(-5/2/(qˆ(-3/2+1 Differentiate L(x 2sin(x 2 3x 7 L (x 2*cos(xˆ(2-3*x - 7*(2*x - 3 (-18*(sin(pi/4*t*(1 / (cos(-9*tˆ(2-1/3ˆ(2 (-16*tˆ(3*sin(tˆ(4 Differentiate f (x 7 cos(10x 5/4 (15/2*xˆ(1/4*(1 / (cos(xˆ(5/4ˆ(2 Differentiate y tan(q (tan(q 1/8 dq 1 / (cos(qˆ(2 - (1/8*(tan(qˆ(-7/8*(1 / (cos(qˆ(2 Differentiate V cos( 3 4 sin(x3/4 cos(3/4*(3/4*xˆ(-1/4*cos(xˆ(3/4 Differentiate g(y tan(7y g (y 3.5*(tan(7*yˆ(-0.5*(1 / (cos(7*yˆ(2 Differentiate y x 3 cos(4x cos(4 3*xˆ(2*cos(4*x - cos(4-4*xˆ(3*sin(4*x - cos(4 ( π Differentiate W ln t 3-3*tˆ(-1
Differentiate W x 3 cos(5x 2 + ln(π Differentiate B(y ln(y + ey 4 B (y 3*xˆ(2*cos(5*xˆ(2 + ln(pi - xˆ(3*sin(5*xˆ(2 + ln(pi*(10*x 0.5*yˆ(-1*(ln(yˆ(-0.5 + (4*e*yˆ(3 Differentiate B(x B (x 4*sˆ(3 - sˆ(-1 (3x + cos(25 sin(2x 2 + 9 Differentiate H ln(2sin( t + (e 2 t ln(2*cos(sqrt(t + (eˆ2*t*(0.5*tˆ(-0.5 + eˆ2 Differentiate C(x tan(x π C (x (pi*xˆ(pi-1*(1 / (cos(xˆ(piˆ(2 Differentiate L(x (ln(2cos( 1 4 x L (x (ln(2*sin((1/4 - x Differentiate L(t 9sin(4t 2 + ln(4 L (t 8*(9*t*cos(4*tˆ(2 + ln(4 Differentiate y 9sin( q 10q dq 9*(cos(sqrt(q - 10*q*((1/2*qˆ(-1/2-10 Differentiate W πcos( x + ex pi*(-1*sin(sqrt(x + e*x*(0.5*xˆ(-0.5 + e Differentiate L(z (cos(4z 2 L (z (-4*(sqrt(2*(cos(4*zˆ(sqrt(2-1*sin(4*z Differentiate H (4 + cos(t 5 (-5*(4 + cos(tˆ(4*sin(t Differentiate V 2 cos(4x 5/4 (15*(3*x + cos(2ˆ(4*sin(2*xˆ(2 + 9-4*x*(3*x + cos(2ˆ(5*cos(2*xˆ(2 + 9 / (sin(2*xˆ(2 + 9ˆ(2 2*(5*sin(4*x*cos(4*xˆ(-9/4 Differentiate y s 4 ln(s ds Differentiate R ln(x2 + 2 x 5/6 3 (2*xˆ(11/6*(xˆ(2 + 2ˆ(-1 - (5/6*xˆ(-1/6*ln(xˆ(2 + 2 Differentiate V cos(8x (-4*(cos(8*xˆ(-0.5*sin(8*x Differentiate y 8 ln(x 10x e 4*xˆ(-1*(ln(xˆ(-0.5 - (10*e*xˆ(e-1 Differentiate H sin(x + (cos(x 2 cos(x - 2*cos(x*sin(x Differentiate y πln(5x 2 + π 10*pi*x/(5*xˆ2 + pi Differentiate H sin(y 5/4 dy (5/4*yˆ(1/4*cos(yˆ(5/4 Differentiate B(q (e 4 sin(q 3 + 2q 2 B (q ((eˆ4*(3*qˆ(2+4*q*cos(qˆ(3 + 2*qˆ(2 Differentiate f (z 7ln(5z 5 f (z -35/z
Differentiate f (p ln(p2 + 6 p 4 f (p sin(s/(7 - cos(s (2*pˆ(5*(pˆ(2 + 6ˆ(-1-4*pˆ(3*ln(pˆ(2 + 6 / pˆ(8 Differentiate y x 5/4 ln(3x + 5 q 5 Differentiate g(q ln(q + 3 1 g (q (5/4*xˆ(1/4-3/(3*x + 5 Differentiate z (7 sin(x (5*qˆ(4*ln(q + 1/3 - qˆ(5*(q + 1/3ˆ(-1 / (ln(q + 1/3ˆ(2 5 dx dz (4t + 1/25 Differentiate H cos(8t + 1-5*(7 - sin(xˆ(-6*(-cos(x Differentiate W 8sin(x 2 ln(x (20*(4*t + 1/2ˆ(4*cos(8*t + 1 + 8*(4*t + 1/2ˆ(5*sin(8*t dx + 1 / (cos(8*t + 1ˆ(2 ( t 3 8*(2*x - 1/x*cos(xˆ2 - ln(x Differentiate y 9ln π Differentiate y (7 ln(2x π dx 27*tˆ(-1 Differentiate y (4s 9 3 sin(2s ds 12*(4*s-9ˆ2*sin(2*s + 2*(4*s - 9ˆ3*cos(2*s Differentiate f (x ln(2x2 + 7 π f (x (1/pi*4*x/(2*xˆ2 + 7 Differentiate y sin(9x ln(x cos(9*x - ln(x*(9-1/x Differentiate L(z z 3/2 ln(cos(z + 1 L (z (3/2*zˆ(1/2 + sin(z/(cos(z + 1 Differentiate y ln(7 cos(s ds pi*(7 - ln(2*xˆ(pi-1*(-1/x Differentiate y x 7/8 ln(x e (7/8*xˆ(-1/8*ln(x - e + xˆ(7/8*(x - eˆ(-1 Differentiate C(y (cos(3y π 2 π C Differentiate R (sin(2x π 5 (y dr (-3*pi*(cos(3*y - (pi/2ˆ(pi-1*sin(3*y - (pi/2 10*(sin(2*x - piˆ(4*cos(2*x - pi Differentiate g(y ln(y(y 2 1/3 g (y (3*yˆ2-1/3*(1/(y*(yˆ2-1/3 Differentiate y x 2 cos(x 2 + 3x 2 2*x*cos(xˆ(2 + 3*xˆ(2-8*xˆ(3*sin(xˆ(2 + 3*xˆ(2 Differentiate g(p sin(10p g (p 5*(sin(10*pˆ(-0.5*cos(10*p Differentiate C(y ycos(8y 3 4 C (y cos(8*yˆ3-4 - 24*yˆ3*sin(8*yˆ3-4 Differentiate y ln(x + 3 (1/2*(ln(x + 3ˆ(-1/2*(1/x 4
Differentiate R (ln(9y + π 5 dy 5*(ln(9*y + piˆ4*(1/y Differentiate h(x ln(x π + x π h (x pi*(xˆ(pi-1 - xˆ(-pi-1/(xˆ(-pi + xˆ(pi Differentiate f (p ln(p 5 + ep f (p (5*pˆ4 + e/(pˆ5 + e*p Differentiate V (ln(x 3 + 2ln(x 5 3*ln(xˆ2*(1/x + 2/x Differentiate H ln(x π ex (pi*xˆ(pi-1 - e/(xˆ(pi - e*x Differentiate V ln(z 5 + 3 z dz (5*zˆ(4 + (1/3*(zˆ5 + z/3ˆ(-1 Differentiate B(s sin(πs + (cos(s 1/6 B (s pi*cos(pi*s - (1/6*(cos(sˆ(-5/6*sin(s Differentiate L(s ln(s 2 (cos(2s L (s (2*s - (cos(2*(sˆ2 - (cos(2*sˆ(-1 Differentiate W 6ln( t + (e 3 t (6*(sqrt(t + (eˆ3*tˆ(-1*(0.5*tˆ(-0.5 + eˆ3 Differentiate L(t t(ln(3t + π 3 L (t ln(3*t + piˆ3 + 9*t*(ln(3*t + piˆ2/(3*t + pi Differentiate h(x cos( x + (ln(x 10 5/4 h (x -sin(x + (5/4*(ln(x - 10ˆ(1/4*(x - 10ˆ(-1 Differentiate L(x x 4 ln(9x L (x 4*xˆ(3*ln(9*x + xˆ(3 Differentiate C(y ln(y e + cos(y C (y (e*yˆ(e-1 - sin(y/(yˆe + cos(y Differentiate y sin(3x + 5ln(5 3x 3*cos(3*x + 5*ln(5-3*x - 3*sin(3*x + 5*(5-3*xˆ(-1 Differentiate H sin(x + (sin(x 5 cos(x + 5*(sin(xˆ(4*cos(x Differentiate z e cos(q 2 2 dq dz (-2*e*q*sin(qˆ(2-2 Differentiate h(x x 5 ln(x 1 2 h (x 5*xˆ4*ln(x - 1/2 + xˆ5/(x - 1/2 Generated by c WeBWorK, http://webwork.maa.org, Mathematical Association of America 5