wayground logo

Free Printable Worksheets

Font size

S
M
L
XL
Worksheets

Derivata 1 - Repetition

Total questions: 3

Worksheet time: 2mins

Name
Class
Date
1.

Derivera

 f(x)=4x3+e2x+16f\left(x\right)=4x^3+e^{2x}+16  

a)

 f(x)=12x2+2e2xf'\left(x\right)=12x^2+2e^{2x}  

b)

 f(x)=12x3+2exf'\left(x\right)=12x^3+2e^x  

c)

 f(x)=x4+e2x2+16xf'\left(x\right)=x^4+\frac{e^{2x}}{2}+16x  

d)

 f(x)=12x2+2exf'\left(x\right)=12x^2+2e^x  

2.

Derivera

 g(x)=x451,5x+e3g\left(x\right)=\sqrt{x}-4\cdot5^{1,5x}+e^3  

a)

 g(x)=12x651,5xln5g'\left(x\right)=\frac{1}{2\sqrt{x}}-6\cdot5^{1,5x}\cdot\ln5  

b)

 g(x)=0,5x650,5x+3e2g'\left(x\right)=\sqrt{0,5x}-6\cdot5^{0,5x}+3e^2  

c)

 g(x)=12x651,5xg'\left(x\right)=\frac{1}{2\sqrt{x}}-6\cdot5^{1,5x}  

d)

 g(x)=0,5x651,5xln5g'\left(x\right)=\sqrt{0,5x}-6\cdot5^{1,5x}\cdot\ln5  

3.

Vilken lutning har grafen till

 y=3x2+4x1y=3x^2+4x-1  då  x=2x=2  ?

a)

16

b)

4

c)

15

d)

6