Calculus Basic Derivatives

Question 1

The derivative of f(x) is speed

Accepted Answer

False

Question 2

What is the formal definition of a derivative?

Accepted Answer

\lim_{h	o0}\frac{f\left(x+hight)+f\left(xight)}{h}\overline{ }

Question 3

The derivative of f(x) is instantaneous velocity.

Accepted Answer

True

Question 4

Find the derivative of f\left(x\right)=\cos\left(x\right)

Accepted Answer

f'\left(x\right)=-\sin\left(x\right)

Question 5

What is the correct notation for derivatives?

Accepted Answer

\frac{dy}{dx}

Question 6

f'\left(x\right)=18x is the derivative of f\left(x\right)=9x^2+70.

Accepted Answer

True

Question 7

Find the derivative of the equation f\left(x\right)=\left(2x-8\right)^{13}

Accepted Answer

f'\left(x\right)=26\left(2x-8\right)^{12}

Question 8

Find the derivative of f\left(xight)=	an\left(xight)

Accepted Answer

f'\left(x\right)=\sec^2\left(x\right)

Question 9

What is the formal definition of a derivative at a point?

Accepted Answer

\lim_{x	o c}\frac{f\left(xight)-f\left(cight)}{x-c}

Question 10

What is the derivative of the equation f\left(x\right)=\pi x?

Accepted Answer

f'\left(x\right)=\pi

Question 11

Find the slope of the tangent line of f\left(x\right)=4x^2+9x at x=2.

Accepted Answer

25

Question 12

Find the slope of the tangent line of f\left(x\right)=\left(2x^2+5\right)^4 at x=1.

Accepted Answer

5488

Question 13

What is the derivative of f\left(x\right)=x^2+6x?

Accepted Answer

f'\left(x\right)=2x+6

Question 14

What is the derivative of f\left(x\right)=6x^5?

Accepted Answer

f'\left(x\right)=30x^4

Question 15

The derivatve of f\left(x\right)=\sec\left(x\right) is f'\left(x\right)=\sec^2\left(x\right)

Accepted Answer

False

Question 16

Sing along!

Accepted Answer

answer, !, pick, any

Question 17

Find the derivative of f\left(x\right)=\sin\left(3x\right)

Accepted Answer

f'\left(x\right)=3\cos\left(3x\right)

Question 18

4x + 18 is the derivative of x4 + 18x.

Accepted Answer

False

Questions 18