# What is the equation of the tangent line of #f(x)=2x^2+xe^x# at #x=5#?

Equation of tangent line is

Hence equation of tangent is

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See below.

First we need to differentiate the function to find the gradient of the tangent line.

We need to use the product rule for the second term.

Product rule states that:

Let

Equation of line:

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The equation of the tangent line of f(x)=2x^2+xe^x at x=5 is y = 57x - 68.

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