Free Printable Tangent Lines

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 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.

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

4.

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)

$y=4x+3$

5.

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

6.

Find the slope of f(x) = -3x² – 6x at x = 1.

a)

m = 0

b)

f'(x) = -6x - 6

c)

f'(x) = 6x

d)

m = -12

7.

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)

$y=2x$

8.

Point-Slope Form is

a)

$y-y_1=m\left(x-x_1\right)$

b)

$y_1-y=m\left(x_1-x\right)$

c)

$y=mx+b$

d)

None of the above

9.

Find the slope at x = 7 of the equation f(x) = 3x²

(a)

10.

What is this?

a)

Canvas

b)

Easel

Tangent Lines

Total questions: 10

Worksheet time: 28mins

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