Free Printable Practice Assessment 9

1.

Find the slope at x = 3 of the equation f(x) = 3x²

a)

6x

b)

27

c)

18

d)

3x

2.

What is the slope of the line normal to the curve y = x² + x at x = 1?

a)

-1

b)

-1/2

c)

-1/3

d)

-1/4

3.

What is the equation of the line tangent to the curve y = x² at x = 1?

a)

y = 2x + 1

b)

y = 2x - 1

c)

y = -2x + 1

d)

y = x - 1

4.

What is the equation of the tangent line at x = 1 $of$ $f\left(x\right)=\ \sqrt{x}$

a)

$y=\frac{1}{2}x-\frac{1}{2}$

b)

$y=\frac{1}{2}x+\frac{1}{2}$

c)

$y=2x-1$

d)

$y=2x$

5.

What is the equation of the line tangent to f(x)= 4x²+2x-1 at x=0?

a)

y+1=2(x+1)

b)

y=2x-1

c)

y=2x+2

d)

y= -x-1

6.

When we "take the derivative" of a function what are we finding?

a)

What's a derivative?

b)

The rate at which our struggles in Calculus are increasing.

c)

The slope of the secant line

d)

The slope of the tangent line

7.

Write the equation of the normal line of: $f\left(x\right)=2x^2-\frac{1}{x}$ at x = 1

a)

$y=-\frac{1}{5}x+\frac{4}{5}$

b)

$y=5x-6$

c)

$y-1=5\left(x-1\right)$

d)

$y-1=-\frac{1}{5}\left(x-1\right)$

8.

Find the slope of the Normal line to: $f\left(x\right)\ =\ \frac{4\sqrt{x}}{5}$
at x = 16

a)

$\frac{2}{5}$

b)

$-\frac{1}{160}$

c)

$\frac{1}{10}$

d)

$-10$

9.

Find the equation of the tangent line at the point (-1,1) of: $f\left(x\right)\ =\ x^4$

a)

$y=-\frac{1}{4}x-3$

b)

$y=-4x-3$

c)

$y=\frac{1}{4}x+3$

d)

$y=4x+3$

10.

Find the equation of the normal line at x = 0 of:
$f\left(x\right)\ =\ x^3+e^x$

a)

$y=-x+1$

b)

$y=\ x+1$

c)

$y=-x\ -1$

d)

$y=x\ -\ 1$

Practice Assessment 9

Total questions: 10

Worksheet time: 37mins

Similar Resources on Wayground