Math virtual assistant

About Snapxam Calculators Topics Go Premium Contact us
ENG • ESP

Enter the problem you want to solve:

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

Derive the function ln((((3x+2)^5)/(x^4+7))^0.5) with respect to x

\frac{d}{dx}\left(\ln\left(\sqrt{\frac{\left(3x+2\right)^5}{x^4+7}}\right)\right)

Solutions

Formulas

Step by step solution

Problem

$\frac{d}{dx}\left(\ln\left(\sqrt{\frac{\left(3x+2\right)^5}{x^4+7}}\right)\right)$

Show full step-by-step solution

Answer

$\frac{1}{2}\left(\frac{15\left(2+3x\right)^{4}\left(7+x^4\right)-4\left(2+3x\right)^5x^{3}}{\left(2+3x\right)^{5}\left(7+x^4\right)}\right)$

Related Problems

$4+\left(x-1\right)\left(x+3\right)=\left(x-7\right)\left(4x+2\right)$
$\left(6x+3\right)\left(3x-5\right)=\left(9x-4\right)\left(2x-7\right)+7$
$x^3-\frac{11}{2} x^2+\frac{15}{2}\cdot x-2=0$
$\frac{x2}{x3+7x2+12x}-\frac{3}{x2-9}=0$
$f\left(x\right)=\left(2-9x^2-8x^3\right)\cdot\frac{1}{12x^3}$
$15a\left(a+1\right)^3-5a\left(\left(\left(a+1\right)^2\right)^3\right)^2$
${\frac{5}{2}\cdot x\cdot\left(x+1\right)+\frac{3}{2}\cdot\left(-x^2-\frac{4}{3}\cdot x+\frac{1}{24}\right)}>{0}$

Struggling with math?

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

Problem Stats

Main topic:

Differential calculus

Used formulas:

7

Time to solve it:

0.93 seconds

Views:

128

Sign up now. For Free!

By signing up, you agree that you're 13 years old or older, and also agree to Snapxam's Terms of Service and Privacy Policy.


Already have an account? Sign in
Forgot password?

Math virtual assistant




Register here if you dont have an account.
Forgot password?