What is the tangent of f(x)=4xe^x,(0,0) ?

The tangent of f(x)=4xe^x,(0,0) is y=4x

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tangent of f(x)=4xe^x,(0,0)

tangent of

f (x) = 4 x e^{x}, (0, 0)

y = 4 x

Solution steps

Find the slope of

f (x) = 4 x e^{x} : \frac{df ( x )}{d x} = 4 (e^{x} + e^{x} x)

Compute the slope of

f (x) = 4 x e^{x}

(0, 0) : m = 4

Find the line with slope m=

4

and passing through

(0, 0) : y = 4 x

y = 4 x

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What is the tangent of f(x)=4xe^x,(0,0) ?
The tangent of f(x)=4xe^x,(0,0) is y=4x