Free Printable Implicit Differentiation

1.

First Name

4 lines

2.

Last Name

4 lines

3.

Find dy/dx by Implicit Differentiation
x³ +y³ = 36

a)

6 -x

b)

3x² +3y²

c)

−x²/y²

d)

0

4.

Find dy/dx
xy+y²=2

a)

-y/(x+2y)

b)

y/(x+2y)

c)

-3y/x

d)

-3x/y

5.

Find dy/dx at a given point.

a)

5/4

b)

4/5

c)

1

d)

-5

6.

a)

-3

b)

8

c)

0

d)

9

7.

Find dy/dx at the given point

x³ +2xy -y²=11 at (2,3)

a)

-4/7

b)

12

c)

-9

d)

9

8.

Find $\frac{dy}{dx}$ : $y^2=10x$

a)

$\frac{5}{y}$

b)

$\frac{10}{y}$

c)

$\frac{y^2}{5}$

d)

$\frac{y^2}{10}$

9.

Find $\frac{dy}{dx}$ : $2x^2-3y^2=4$

a)

$\frac{2x}{y}$

b)

$\frac{x}{3y}$

c)

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

d)

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

10.

Find the derivative at a point.

a)

2/3

b)

-2/3

c)

1

d)

-1

11.

Find the derivative of $x^2+xy+y^3=0$

a)

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

b)

$-\frac{x+3y^2}{2x+y}$

c)

$-\frac{2x+y}{x+3y^2}$

d)

$-\frac{2x}{x+3y^2}$

Implicit Differentiation

Total questions: 11

Worksheet time: 55mins

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