What is the tangent of f(x)=6xe^x,(0,0) ?

The tangent of f(x)=6xe^x,(0,0) is y=6x

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tangent of f(x)=6xe^x,(0,0)

tangent of

f (x) = 6 x e^{x}, (0, 0)

y = 6 x

Solution steps

Find the slope of

f (x) = 6 x e^{x} : \frac{df ( x )}{d x} = 6 (e^{x} + e^{x} x)

Compute the slope of

f (x) = 6 x e^{x}

(0, 0) : m = 6

Find the line with slope m=

6

and passing through

(0, 0) : y = 6 x

y = 6 x

y = tan (2 x)

\frac{\partial}{\partial x} (- 3 sin (3 x))

4 x - \frac{x ^{3}}{4}

\int - y sin (y) d y

\int (sin (π) x) d x

What is the tangent of f(x)=6xe^x,(0,0) ?
The tangent of f(x)=6xe^x,(0,0) is y=6x