Compute the derivatives of the functions g(x)=(\sqrt{x}+x^{2})(x^{3}+x+\s

Cheyanne Leigh 2021-09-30 Answered
Compute the derivatives of the functions
g(x)=(x+x2)(x3+x+2)
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Expert Answer

comentezq
Answered 2021-10-01 Author has 106 answers

Step 1
Given
g(x)=(x+x2)(x3+x+2)
To take derivative of g(x), we apply product rule
(uv)=uv+vu
g(x)=(x+x2)(x3+x+2)
u=x+x2
u=12x+2x
v=x3+x+2
v=3x2+1
Step 2
Now we apply product rule
g(x)=(x+x2)(x3+x+2)
g(x)=(12x+2x)(x3+x+2)+(3x2+1)(x+x2)

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Jeffrey Jordon
Answered 2022-02-01 Author has 2581 answers

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