Free Printable CALC

1.

Who are the fathers of Calculus?

a)

Gottfried Leibniz and Isaac Newton

b)

Galileo Galilei and Johannes Kepler

c)

Archimedes and Leonhard Euler

d)

Jose Rizal and Andres Bonifacio

2.

What is the second derivative of $y=\ln\left(x\right)$ ?

a)

$y''=\frac{1}{2\ln x}$

b)

$y''=\frac{1}{x}$

c)

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

d)

$y''=\ln x^2$

3.

The derivative of the inverse trigonometric function $\operatorname{arccsc}u$ is ____?

a)

$\frac{-\frac{du}{dx}}{u\sqrt{-1+u^2}}$

b)

$\frac{-\frac{du}{dx}}{\sqrt{1-u^2}}$

c)

$\frac{\frac{du}{dx}}{1+u^2}$

d)

None of the above

4.

Find the derivative of $e^{\sin2x}$ .

a)

$2e^{\cos2x}$

b)

$2e^{\sin2x}\cos2x$

c)

$\cos2x\ e^{\sin2x}$

d)

$e^{\sin2x}\sin2x$

5.

Which of the following will have a derivative of $2x+\frac{1}{2x}?$

a)

$x^2+2\ln x$

b)

$2x^{ }+\ln2x$

c)

$\frac{x^3}{x^{ }}+\frac{1}{2}\ln x$

d)

$\frac{1}{x^{-3}}+\frac{\ln x}{2}$

6.

What is the name of the man in the Pringles can?

a)

Arthur

b)

Robert

c)

Francis

d)

Julius

7.

What should be the value of "a" on the equation $a^{\log_4\cos x}$ so that the answer would be equal to $\cos x$ ?

a)

$\cos\ x$

b)

$4$

c)

$10$

d)

$\sin x$

8.

Determine the first derivative of $\frac{\cos x}{\sec x}$ .

a)

$-\sin^2x$

b)

$2\cos x\sin x$

c)

$\sec^2x\tan^2x$

d)

$-\sin2x$

9.

Solve for the derivative of $\sin\left(\arccos2x\right)$ .

a)

$\frac{4x}{\sqrt{1+4x^2}}$

b)

$\frac{-4x}{\sqrt{1-4x^2}}$

c)

$\frac{-x}{\sqrt{1-4x^2}}$

d)

$\frac{-\cos x}{\sqrt{1-4x^2}}$

10.

What is the name of this amazing girl group?

a)

BLACPINK

b)

ITZY

c)

TWICE

d)

RED VELVET

CALC

Total questions: 10

Worksheet time: 6mins

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