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Sveta_85 [38]
3 years ago
7

If f(x)=e^2x(x^3+1) then f'(2)=

Mathematics
1 answer:
qaws [65]3 years ago
7 0

Answer:

See below

Step-by-step explanation:

f(x)=e^2x(x^3+1) = e^2x^4+x

Considering

f'(x)=\dfrac{d}{dx}f(x)=\dfrac{d}{dx}e^2x^4+\dfrac{d}{dx}x

Once the derivative of a constant is 1 and  e^x = \dfrac{d}{dx} e^x

Then,

\dfrac{d}{dx}f(x)=\dfrac{d}{dx}e^2x^4+\dfrac{d}{dx}x =\boxed{ e^2 4x^3+1}

Therefore,

f'(2) = e^24\cdot 2^3 +1 = 32e^2+1

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