Free Printable Derivatives Relay

1.

Find dy/dx by Implicit Differentiation
xy = 6

a)

-x/ y

b)

-y/ x

c)

-6y/ x

d)

y/x

2.

Find dy/dx
xy+y²=2

a)

-y/(x+2y)

b)

y/(x+2y)

c)

-3y/x

d)

-3x/y

3.

Find dy/dx by Implicit Differentiation
2xy³- x²y = 2

a)

2xy - 2y³

b)

2y(x-y²)/x(6y²-x)

c)

-2y/x

d)

2

4.

a)

A

b)

B

c)

C

d)

D

5.

a)

A

b)

B

c)

C

d)

D

6.

a)

A

b)

B

c)

C

d)

D

7.

a)

A

b)

B

c)

C

d)

D

8.

Let $g\left(x\right)=x^5+3x$ and let h be the inverse function of g. Notice that $g\left(1\right)=4$ . Find $h'\left(4\right)$

a)

-8

b)

-1/8

c)

1/8

d)

8

9.

Find $h'\left(-4\right)$

a)

-4

b)

-1/4

c)

1/4

d)

4

10.

If $y=e^{-2x^3}$ , then $\frac{\text{d}y}{\text{d}x}=$

a)

$-2x^3e^{-2x^3}$

b)

$e^{-2x^3}$

c)

$-6x^2e^{-2x^3}$

d)

$e^{-6x^2}$

e)

$-6x^2e^{-6x^2}$

11.

Differentiating $\frac{\left(e^{2x}-e^x\right)^2}{e^x}$ yields:

a)

$3e^{3x}+e^x$

b)

$3e^{3x}-4e^{2x}+e^x$

c)

$e^{3x}-e^{2x}+e^x$

d)

$e^{3x}+e^x$

e)

$\frac{1}{3}e^{3x}-e^{2x}+e^x$

12.

Differentiating $-\log_e\left(2x-3\right)$ yields:

a)

$\frac{2}{2x-3}$

b)

$\frac{-1}{2x-3}$

c)

$\frac{1}{2x-3}$

d)

$\frac{2}{3-2x}$

e)

$\frac{-3}{2x-3}$

13.

If $y=\log_2\left(3x\right)$ then $\frac{\text{d}y}{\text{d}x}=$

a)

$\frac{1}{\log_2\left(3\right)x}$

b)

$\frac{3}{\log_2\left(3\right)x}$

c)

$\frac{1}{\log_e\left(2\right)x}$

d)

$\frac{3}{\log_e\left(3\right)x}$

e)

$\frac{1}{\log_3\left(2\right)x}$

14.

If $y=x^2e^{3x}$ then $\frac{\text{d}y}{\text{d}x}=$

a)

$6xe^{3x}$

b)

$2xe^{3x}$

c)

$\left(3x^2+2x\right)e^{3x}$

d)

$\left(x^2+1\right)e^{3x}$

e)

$\left(x^2+x\right)e^{3x}$

15.

a)

A

b)

B

c)

C

d)

D

e)

E

16.

a)

A

b)

B

c)

C

d)

D

17.

find y' for y= sin(2x²)

a)

4sin(2x²)

b)

4xcos(2x²)

c)

2xcos(2x²)

d)

xcos(4x²)

18.

Differentiate:
f(x) = x⁷ (5 + 8x)³

a)

f '(x) = x² (5 + 8x)⁶ (35 + 80x)

b)

f '(x) = x⁶ (5 + 8x)² (35 + 80x)

c)

f '(x) = 8x⁷ (5 + 8x)² (35 + 80x)

d)

f '(x) = x⁶ (5 + 8x)³ (35 + 80x)

19.

d/dx (sin³(4x^-6)) = ?

a)

-24x^-5 ⋅ cos (4x^-6) ⋅ 3sin²(4x^-6)

b)

-24x^-7 ⋅ cos (4x^-6) ⋅ 3sin²(4x^-6)

c)

-24x^-7 ⋅ 3cos²(4x^-6)

d)

3cos²(-24x^-5)

Derivatives Relay

Total questions: 19

Worksheet time: 5hrs 45mins

Similar Resources on Wayground