Free Printable Simple Derivatives for Calculus

1.

What is the derivative of $x^3-x^2+3x+10$

a)

$x^2-x+3$

b)

$3x^2-2x+3$

c)

$x^4-x^3+3x^2+10x+c$

d)

$3x^2-3x+2$

2.

$\propto\rightarrow\perp x\nabla56\Delta43\theta\pi\alpha2\beta33\parallel\degree4\frac{\partial x}{\partial y}5t\frac{\text{d}x}{\text{d}y}^{\frac{\partial x}{\partial y}^{\frac{\partial x}{\partial y}^{\parallel\parallel\alpha c253\beta4}}}$ is about what number?

a)

0

b)

why does it matter

c)

about 23466711340969716501478.234895923649582

d)

not possible?

e)

You only have 10 secons btw

3.

a)

cosx

b)

-cosx

c)

-sinx cosx

d)

sinx cosx

4.

a)

sinx

b)

-sinx

c)

-cscx cotx

d)

sec²x

5.

Find the derivative of f(x)=(x³-2x)²

a)

6x⁵ - 12x³+8x

b)

6x⁵ - 16x³+8x

c)

x⁶-4x⁴+4x²

d)

6x⁵ - 16x^3-8x

6.

Find dy/dx for
y = 3^2x+5

a)

dy/dx = 3^(2x+4)

b)

dy/dx = (3^(2x+4)) ln 3

c)

dy/dx = 3^(2x+5) ln3

d)

dy/dx = (3^(2x+5)) (ln 3) (2)

7.

Find the derivative:
y=4e^x²

a)

y'=8xe

b)

y'=8xe^x²

c)

y'=8xe^2x

d)

y'=8xe^4x²

8.

Find the second derivative of the function:
f (x) = 2x - 5x⁶

a)

f ''(x)= 2 - 30x

b)

f ''(x) = 2-30x⁵

c)

f ''(x) = -30x⁵

d)

f ''(x) = -150x⁴

9.

Find y' if y=e^3x

a)

e^3x

b)

e^2x

c)

0

d)

3e^3x

10.

$\int e^xdx=$

a)

$e^{x+1}+C$

b)

$\ln x\ +\ C$

c)

$e^x+C$

d)

$\frac{e^{x+1}}{x+1}+C$

11.

$\int\sec^2xdx=$

a)

$\sec^3x+C$

b)

$\frac{1}{3}\sec^3x+C$

c)

$\tan x+C$

d)

$2\sec x\ +\ C$

12.

$\frac{\text{d}}{\text{d}x}\left(xy\right)=$

a)

$x\frac{\text{d}y}{\text{d}x}$

b)

$\frac{\text{d}y}{\text{d}x}$

c)

$x\frac{\text{d}y}{\text{d}x}+y$

d)

$y\frac{\text{d}y}{\text{d}x}+x$

13.

$\int\sin xdx$

a)

$\cos x+C$

b)

$\sin^2x+C$

c)

$-\cos x+C$

d)

$\frac{1}{2}\sin^2x+C$

14.

$\int dx=$

a)

$0$

b)

$x+C$

c)

$1$

d)

$undefined$

15.

Find the derivative of the given equation
f(x) = 7

a)

7

b)

0

c)

7x

d)

14

16.

Find the derivative of the given equation
f(x) = -4x

a)

4

b)

x

c)

-4

d)

0

17.

Find the derivative of the given equation
f(x) = 1 - x²

a)

1 - 2x

b)

-2x

c)

-2

d)

-1

18.

Find the derivative of the given equation
f(x) = x³ + x² + 3

a)

3x² + 2x

b)

3x + 2x

c)

3x + 2x + 3

d)

x³ + x²

19.

What is the derivative of xⁿ?

a)

(n-1)xⁿ

b)

nxⁿ⁺¹

c)

(n+1)x^n-1

d)

nx^n-1

20.

What is the derivative of $x^{10}+2x^9+x^8+7x^7+5x^6+5x^5+3x^4+4x^3+2x^2+3x+2093485709$

a)

$10x^9+18x^8+8x^7+49x^6+30x^5+25x^4+12x^3+12x^2+4x+3$

b)

Undefined

c)

$10x+18x+8x+49x+30x+25x+12x+12x+2x+3x$

d)

$10x^9+18^8+8x^7+49x^6+30x^5+25^4+12x^3+12^2+3x+3$

Simple Derivatives for Calculus

Total questions: 20

Worksheet time: 24mins

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