Free Printable Derivate simple

1.

$f\left(x\right)=x^2+x+2$

a)

$f'\left(x\right)=2x+1$

b)

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

c)

$f'\left(x\right)=2x+3$

d)

$f'\left(x\right)=x+1$

2.

$f\left(x\right)=e^x-x^3+3$

a)

$f'\left(x\right)=e^x+3$

b)

$f'\left(x\right)=e^x-3x^2$

c)

$f'\left(x\right)=e^x-x^2+3$

d)

$f'\left(x\right)=x-3$

3.

$f\left(x\right)=x+\ln x$

a)

$f'\left(x\right)=2+\frac{\text{1}}{\text{x}}$

b)

$f'\left(x\right)=x+1$

c)

$f'\left(x\right)=\frac{x+1}{x}$

d)

$f'\left(x\right)=x-\frac{1}{x}$

4.

$f\left(x\right)=x^3-3x+5$

a)

$f'\left(x\right)=\left(x-1\right)\left(x+1\right)$

b)

$f'\left(x\right)=3\left(x^2-1\right)$

c)

$f'\left(x\right)=3x^2-3$

d)

$f'\left(x\right)=3x-3$

5.

$f\left(x\right)=x^3+x^2-x+1$

a)

$f'\left(x\right)=3x^2+2x-1$

b)

$f'\left(x\right)=3x+2$

c)

$f'\left(x\right)=3x+1$

d)

$f'\left(x\right)=3x^2+1$

6.

$f\left(x\right)=x^6-6x+5$

a)

$f'\left(x\right)=6x^5+6$

b)

$f'\left(x\right)=6\left(x^5-1\right)$

c)

$f'\left(x\right)=6x-6$

d)

$f'\left(x\right)=6x^5-1$

7.

$f\left(x\right)=7x^3-5x^2+x+1$

a)

$f'\left(x\right)=21x^3-10x$

b)

$f'\left(x\right)=21x^2-10x+1$

c)

$f'\left(x\right)=3x^2-2x+1$

d)

$f'\left(x\right)=21x-10$

8.

$f\left(x\right)=\left(x-2\right)e^x$

a)

$f'\left(x\right)=\left(x-1\right)e^x$

b)

$f'\left(x\right)=\left(x-2\right)e^x$

c)

$f'\left(x\right)=e^x$

d)

$f'\left(x\right)=1+e^x$

9.

$f\left(x\right)=x-\frac{1}{x}$

a)

$f'\left(x\right)=1+\frac{1}{x^2}$

b)

$f'\left(x\right)=1-\frac{1}{x^2}$

c)

$f'\left(x\right)=\frac{x^2-1}{x^2}$

d)

$f'\left(x\right)=1-\ln x$

10.

$f\left(x\right)=\sin x+\cos x$

a)

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

b)

$f'\left(x\right)=\cos x+\sin x$

c)

$f'\left(x\right)=-\cos x+\sin x$

d)

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

11.

Derivata funcției $f\left(x\right)=4x^2-5x+9$ este

a)

$2x-5$

b)

$8x+4$

c)

$8x-5$

d)

$4x+9$

12.

$Funcția\ f\left(x\right)=-\cos x\ este\ derivata\ funcției:$

a)

$-\sin x$

b)

$\cos x$

c)

$-\cos x$

d)

$\sin x$

13.

$f\left(x\right)=\ln x$

a)

$f'\left(x\right)=1+\frac{1}{x^2}$

b)

$f'\left(x\right)=\frac{1}{x}$

c)

$f'\left(x\right)=\frac{1}{x^2}$

d)

$f'\left(x\right)=1-\ln x$

14.

$Funcția\ f\left(x\right)=x\cdot\cos x\ este\ derivata\ funcției:$

a)

$\cos\ x-x\sin x$

b)

$\cos x\ +\ x\ \sin x$

c)

$-\cos x\ +x\ \sin\ x$

d)

$2\cos\ x\ -\ x\cdot\sin x$

15.

$f\left(x\right)=x^2\cdot e^x$

a)

$f'\left(x\right)=\left(x^2-2x\right)\cdot e^x$

b)

$f'\left(x\right)=\left(x-2\right)e^x$

c)

$f'\left(x\right)=\left(x^2+2x\right)\cdot e^x$

d)

$f'\left(x\right)=1+e^x$

Derivate simple

Total questions: 15

Worksheet time: 30mins

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