Chapter 4

The Definition of the Derivative

Educators


Problem 1

Now find the derivative of the following expressions. The answers are in Chapter 19.
$$
f(x)=5 x \text { at } x=3
$$

Check back soon!

Problem 2

Now find the derivative of the following expressions. The answers are in Chapter 19.
$$
f(x)=4 x \text { at } x=-8
$$

Check back soon!

Problem 3

Now find the derivative of the following expressions. The answers are in Chapter 19.
$$
f(x)=5 x^{2} \text { at } x=-1
$$

Check back soon!

Problem 4

Now find the derivative of the following expressions. The answers are in Chapter 19.
$$
f(x)=8 x^{2}
$$

Check back soon!

Problem 5

Now find the derivative of the following expressions. The answers are in Chapter 19.
$$
f(x)=-10 x^{2}
$$

Check back soon!

Problem 6

Now find the derivative of the following expressions. The answers are in Chapter 19.
$$
f(x)=20 x^{2} \text { at } x=a
$$

Check back soon!

Problem 7

Now find the derivative of the following expressions. The answers are in Chapter $19 .$
$$
f(x)=2 x^{3} \text { at } x=-3
$$

Check back soon!

Problem 8

Now find the derivative of the following expressions. The answers are in Chapter $19 .$
$$
f(x)=-3 x^{3}
$$

Check back soon!

Problem 9

Now find the derivative of the following expressions. The answers are in Chapter $19 .$
$$
f(x)=x^{5}
$$

Check back soon!

Problem 10

Now find the derivative of the following expressions. The answers are in Chapter $19 .$
$$
f(x)=2 \sqrt{x} \text { at } x=9
$$

Check back soon!

Problem 11

Now find the derivative of the following expressions. The answers are in Chapter $19 .$
$$
f(x)=5 \sqrt{2 x} \text { at } x=8
$$

Check back soon!

Problem 12

Now find the derivative of the following expressions. The answers are in Chapter $19 .$
$$
f(x)=\sin x \text { at } x=\frac{\pi}{3}
$$

Check back soon!

Problem 13

Now find the derivative of the following expressions. The answers are in Chapter $19 .$
$$
f(x)=x^{2}+x
$$

Check back soon!

Problem 14

Now find the derivative of the following expressions. The answers are in Chapter $19 .$
$$
f(x)=x^{3}+3 x+2
$$

Check back soon!

Problem 15

Now find the derivative of the following expressions. The answers are in Chapter $19 .$
$$
f(x)=\frac{1}{x}
$$

Check back soon!

Problem 16

Now find the derivative of the following expressions. The answers are in Chapter $19 .$
$$
f(x)=a x^{2}+b x+c
$$

Check back soon!