Polynomials
Trig (Angles)
Trig (Powers)
Challenge Round
100

Find the derivative of...

y=x4+24x2+41/2

What is y'=4x3+48x

100

Find the derivative of...

d/dx tan(3x)

What is 3sec2(3x)

100

Find the derivative of...

y=(tanx)2

What is y'=2sec2(x)tan(x)

100

Find the derivative of...

d/dx sin(2x)+cos(3x)

What is 2cos(2x)-3sin(3x)

200

Find the derivative of...

d/dx (6x)2

What is 72x

200

Find the derivative of...

d/dx sin(3x2)

What is 6xcos(3x2)

200

Find the derivative of...

d/dx (2secx)5

What is 5[2sec(x)]4[2sec(x)tan(x)]

300

Find the derivative of...

y=(x3+x2)3

What is y'=3(x3+x2)2(3x2+2x)

300

Find the derivative of...

d/dx cot(x4)

What is -4x3csc2(x4)

300

Find the derivative of...

y=(sinx)2+(cosx)2

What is y'=2(sinx)(cosx)-2(cosx)(sinx)

= 2[(1/2)sin(2x)]-2[(1/2)sin(2x)]

=0

300

Find the derivative of...

d/dx (7x)2+8y2-(9cosx)2

What is 98x+2(9cosx)(9sinx)

400

Find the derivative of...

d/dx (2x4+4x2)1/2

What is (1/2)(2x4+4x2)-1/2(8x3+8x)

400

Find the derivative of...

d/dx 4cos(x2)

What is -8xsin(x2)

400

Find the derivative of...

y=[45x+sin(x)]3

What is y'=3[45x+sin(x)]2[45+cos(x)]

400

Find the derivative of...

d/dx (sin2x+cos2x)2

What is 1
500

Find the derivative of...

d/dx (3x5+4x3-7x2+12x)2/3

What is (2/3)(3x5+4x3-7x2+12x)-1/3(15x2+12x2-14x+12)

500

Find the derivative of...

d/dx csc(2x4)

What is -8x3csc(2x4)cot(2x4)

500

Find the derivative of...

y=[sec(x)]4+[csc(x)]4

What is y'=4sec4(x)tan(x)-4csc4(x)cot(x)

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