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Find the derivative using logarithmic differentiation method $\frac{d}{dx}\left(\left(2-e^{\left(x^2\right)}\right)^{\cos\left(3x\right)}\right)$

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 Solution

 Videos

Derivative of x^x^x, Logarithmic Differentiation of Exponential Functions, Calculus Youtube Video

https://www.youtube.com/watch?v=Vhltl9w6QNM

Calculus - Find the derivative of natural logarithm using product property, d(ln(2x))/dx

https://www.youtube.com/watch?v=urYZhqwUTI0

How to take the derivative using chain rule with natural log and cosine

https://www.youtube.com/watch?v=bbK7KtEeULo

Use the product rule to take the derivative of an exponential equation

https://www.youtube.com/watch?v=otqQ3gpE6fQ

How to find the integral of an exponential function using u sub

https://www.youtube.com/watch?v=Sp6tUzUoSps

Use the quotient rule to take the derivative of a natural logarithm

https://www.youtube.com/watch?v=DjCrbMPwHAA

 Function Plot

Plotting: $\left(-3\sin\left(3x\right)\ln\left(2-e^{\left(x^2\right)}\right)+\frac{-2e^{\left(x^2\right)}x\cos\left(3x\right)}{2-e^{\left(x^2\right)}}\right)\left(2-e^{\left(x^2\right)}\right)^{\cos\left(3x\right)}$

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5

6

7

8

9

0



a

b

c

d

f

g

m

n

u

v

w

x

y

z

.

(◻)

+

-

×

◻/◻

/

÷

◻²

◻^◻

√◻

√

^◻√◻

^◻√

∞

e

π

ln

log

log_◻

lim

d/dx

D^□_x

∫

∫^◻

|◻|

θ

=

>

<

>=

<=

sin

cos

tan

cot

sec

csc

asin

acos

atan

acot

asec

acsc

sinh

cosh

tanh

coth

sech

csch

asinh

acosh

atanh

acoth

asech

acsch

 How to improve your answer:

 Main Topic: Integrals of Exponential Functions

Those are integrals that involve exponential functions. Recall that an exponential function is a function of the form f(x)=a^x.

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