Free Printable diff-exponent n ln function

1.

How much do you love mathematics ?

a)

suka sangat2

b)

mathematics? Yang ada nombor tu kan

c)

#siscuba

d)

biasa2 je

2.

Find $\frac{dy}{dx}$ for $y=\ln\left(\frac{2x+1}{1-2x}\right)$ .

a)

$\frac{4}{\left(2x+1\right)}+\frac{2}{\left(1-2x\right)}$

b)

$\frac{2}{\left(2x+1\right)}+\frac{2}{\left(1-2x\right)}$

c)

$\frac{2}{\left(2x+1\right)}-\frac{2}{\left(1-2x\right)}$

d)

$\frac{-2}{\left(2x+1\right)}-\frac{2}{\left(1-2x\right)}$

3.

Find the derivative for

f\left(x\right)=6\left(2-x^2\right)^{\frac{1}{2}}

a)

$-6\left(2-x^2\right)^{\frac{1}{2}}$

b)

$-3x\left(2-x^2\right)^{-\frac{1}{2}}$

c)

$-6x\left(2-x^2\right)^{-\frac{1}{2}}$

d)

$6x\left(2-x^2\right)^{-\frac{1}{2}}$

4.

$\frac{\text{d}}{\text{d}y}\left(e^{-x^2}\right)$

a)

$-2xe^{-x^2}$

b)

$-2xe^x$

c)

$\frac{-2}{e^x}$

d)

$-\frac{2}{e^{x^2}}$

5.

$\frac{\text{d}}{\text{d}y}\left(\sqrt{e^{-x}+40}\right)$

a)

$\frac{-1}{2e^x\sqrt{e^{-x}+40}}$

b)

$\frac{e^{-x}+40}{2\sqrt{e^x+6}}$

c)

$\frac{\sqrt{e^{-x}+40}}{2e^x}$

d)

$\frac{3e^{-x}\sqrt{e^x+40}}{2}$

6.

$\frac{\text{d}}{\text{d}y}\left(e^{\left(3x+2x^2\right)}\right)$

a)

$\left(3+4x\right)e^{\left(3x+2x^2\right)}$

b)

$\left(3x+4x\right)e^{\left(3x+2x^2\right)}$

c)

$\left(7x\right)e^{\left(3x+2x^2\right)}$

d)

$\frac{3x\left(3+2x\right)}{e^{\left(3x+2\right)}}$

7.

$y=e^{3x^2}$

a)

$3e^{3x^3}$

b)

$-3e^{3x^3}$

c)

$6xe^{3x^2}$

d)

$-6xe^{3x^2}$

8.

$y=3e^{2x+1}-e^0$

a)

$6e^{2x+1}$

b)

$6e^{2x+1}-1$

c)

$6e^{2x+1}+1$

d)

$6e^{2x+1}+e^0$

9.

$g\left(x\right)=\ln\ 4x^3$

a)

$\frac{1}{3x}$

b)

$-\frac{1}{3x}$

c)

$\frac{3}{x}$

d)

$-\frac{3}{x}$

10.

$g\left(x\right)=\ln\left(2x^3+1\right)$

a)

$-\frac{6x^2}{2x^3+1}$

b)

$\frac{6x^2}{2x^3+1}$

c)

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

d)

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

diff-exponent n ln function

Total questions: 10

Worksheet time: 5mins

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