Go!
1
2
3
4
5
6
7
8
9
0
x
y
(◻)
◻/◻
2

e
π
ln
log
lim
d/dx
d/dx
>
<
>=
<=
sin
cos
tan
cot
sec
csc

asin
acos
atan
acot
asec
acsc

sinh
cosh
tanh
coth
sech
csch

asinh
acosh
atanh
acoth
asech
acsch

# Find the derivative of (3x^2)/(a^7^(1/5))(20-1e^(1/100x))

### Videos

$\frac{-\frac{3}{100}x^2e^{\frac{1}{100}x}}{\sqrt[5]{a^{7}}}+\frac{60\sqrt[5]{a^{7}}\cdot\frac{d}{dx}\left(x^2\right)-3e^{\frac{1}{100}x}\sqrt[5]{a^{7}}\cdot\frac{d}{dx}\left(x^2\right)}{\sqrt[5]{a^{14}}}$

## Step-by-step explanation

Problem

$\frac{d}{dx}\left(\frac{3x^2}{\sqrt[5]{a^{7}}}\cdot\left(20-e^{\frac{1}{100} x}\right)\right)$
1

Applying the power of a power property

$\frac{d}{dx}\left(\frac{3x^2}{\sqrt[5]{a^{7}}}\left(20-e^{\frac{1}{100}x}\right)\right)$

$\frac{-\frac{3}{100}x^2e^{\frac{1}{100}x}}{\sqrt[5]{a^{7}}}+\frac{60\sqrt[5]{a^{7}}\cdot\frac{d}{dx}\left(x^2\right)-3e^{\frac{1}{100}x}\sqrt[5]{a^{7}}\cdot\frac{d}{dx}\left(x^2\right)}{\sqrt[5]{a^{14}}}$

### Struggling with math?

Access detailed step by step solutions to millions of problems, growing every day!

$\frac{d}{dx}\left(\frac{3x^2}{\sqrt[5]{a^{7}}}\cdot\left(20-e^{\frac{1}{100} x}\right)\right)$

### Main topic:

Differential calculus

~ 2.43 seconds