Free Printable diff-trigo n 2nd order

1.

What method should be used in deriving $y=\sin^4\left(3x+5\right)$

a)

2 steps method trigonometric function

b)

3 steps method trigonometric function

2.

What method should be used in deriving $y=\tan^{ }\left(x+5\right)^4$

a)

2 steps method trigonometric function

b)

3 steps method trigonometric function

3.

What method should be used in deriving $y=\cos^3\left(x\right)$

a)

2 steps method trigonometric function

b)

3 steps method trigonometric function

4.

What method should be used in deriving $y=4\cos^3\left(6x-9\right)^5$

a)

2 steps method trigonometric function and extended power

b)

3 steps method trigonometric function and extended power

c)

product rule and extended power

5.

What method should be used in deriving $y=4x^2\cos\ x^3$

a)

3 steps method trigonometric function

b)

product rule and 3 steps method trigonometric function

c)

product rule and 2 steps method trigonometric function

d)

basic rule and 2 steps method trigonometycric function

6.

Find the 2nd Derivative of

y=\left(2x-4\right)^{-5}

a)

$y''\ =-5\left(2x-4\right)^{-4}$

b)

$y''\ =-10\left(2x-4\right)^{-6}$

c)

$y''\ =-60\left(2x-4\right)^{-7}$

d)

$y''\ =120\left(2x-4\right)^{-7}$

e)

$y''\ =120\left(2x-4\right)^{-6}$

7.

Find the second derivative of the following functions with respect to x.
y=3x²+5x-1

a)

6x+5

b)

3x+5

c)

5

d)

6

8.

Find the 2nd derivative of f(x) = ¾x^½

a)

3/4x^-3/2

b)

⅛x^-½

c)

-1/16x^-½

d)

-3/16x^-3/2

9.

How many derivatives can you take of a function?

a)

only 3

b)

only 2

c)

only 1

d)

until you can no longer derive it

10.

Find the second derivative of f(x) = 4x²+ e^-x - cosx

a)

f"(x) = 8 + e^-x + cosx

b)

f"(x) = 8x + e^x + cosx

c)

f"(x) = 8 -xe^-x - cosx

d)

f"(x) = 4x + e^-x + sinx

diff-trigo n 2nd order

Total questions: 10

Worksheet time: 11mins

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