What is the tangent of f(x)=x^4+3e^x,\at x=0 ?

The tangent of f(x)=x^4+3e^x,\at x=0 is y=3x+3

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tangent of f(x)=x^4+3e^x,\at x=0

tangent of

f (x) = x^{4} + 3 e^{x}, at x = 0

y = 3 x + 3

Solution steps

Find the tangent point:

(0, 3)

Find the slope of

f (x) = x^{4} + 3 e^{x} : \frac{df ( x )}{d x} = 4 x^{3} + 3 e^{x}

EN : T i tl e G e n er a l Eq u a t i o n Sl o p e A t P o in t 2 Eq : m = 3

Find the line with slope m=

3

and passing through

(0, 3) : y = 3 x + 3

y = 3 x + 3

What is the tangent of f(x)=x^4+3e^x,\at x=0 ?
The tangent of f(x)=x^4+3e^x,\at x=0 is y=3x+3