Free Printable Equation and Slope of a Tangent Line

1.

Write the slope of the line tangent to the graph of y=x² – 2 at the point x = -8.

a)

2

b)

-4

c)

-8

d)

-16

2.

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

3.

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)

$y=4x+3$

4.

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)

$-10$

5.

Find an equation for the tangent line to the graph of $f\left(x\right)=3x^2-4x+7$ at the point (1, 6)

a)

$y-6=6\left(x-1\right)$

b)

$y-6=2\left(x-1\right)$

c)

$y-6=9\left(x-1\right)$

d)

$y-6=-5\left(x-1\right)$

6.

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)

$y=2x$

7.

What is the equation of the line tangent to the curve y = -x² + 3 at (1, 2)?

a)

y = 2x - 4

b)

y = -2x - 4

c)

y = -2x + 4

d)

y = 2x + 4

8.

f’(x) = 3x+4. Find the slope of the line tangent to f(x) at the point (0, 7)

a)

3

b)

4

c)

-7

d)

7

9.

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

a)

y+1=2(x+1)

b)

y = 2x - 1

c)

y=2x+2

d)

y = 2x -3

10.

Write the slope of the line tangent to the graph of y=x² – 2 at the point x = -8.

a)

2

b)

-4

c)

-8

d)

-16

11.

Find the tangent line when x = 2 on the curve $y=\frac{12}{x^2}$

a)

$y=3x-3$

b)

$y=-12x+25$

c)

$y=-3x+9$

d)

$y=12x-21$

12.

Find the tangent line when x = 1 on the curve $f\left(x\right)=\frac{2x^2+x-3}{x}$

a)

$y=0$

b)

$y=5x-5$

c)

$y=4x-4$

d)

$y=2x+2$

13.

Find the horizontal tanget to the function $g\left(x\right)=2x^2-4x-8$

a)

$y=-10$

b)

$y=-8$

c)

$y=1$

d)

$y=-1$

14.

Given the function $f\left(x\right)=x^2$ what is the slope of the tangent line at point (2,4)?

a)

2

b)

4

c)

6

d)

8

Equation and Slope of a Tangent Line

Total questions: 14

Worksheet time: 1hrs 11mins

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