What is the equation of the tangent line

Bryson Whitney

Bryson Whitney

Answered question

2022-04-07

What is the equation of the tangent line of f(x)=(x3)(3xex2) at x=3?

Answer & Explanation

Frain4i62

Frain4i62

Beginner2022-04-08Added 16 answers

I used the product rule to differentiate f(x):
(x3)(32xex2)+(1)(3xex2)
When x=3, f(x)=(9e9)
at x=3, y=0 (substituting 3 into original equation)
For the equation,
y-0=f'(x)(x-3)

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