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

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

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

tangent of

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

y = 4 x + 4

Solution steps

Find the slope of

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

Find the line with slope m=

4

and passing through

(0, 4) : y = 4 x + 4

y = 4 x + 4

\frac{d y}{d t} = - 2 (y - 4)

\int \frac{x ^{2} + 16}{x ^{4}} d x

x \to 1 lim (x^{2} + 3 x - 4)

d er i v a t i v e \frac{( x ^{2} e ^{x} )}{x ^{2} + e ^{x}}

\frac{d y}{d x} = (x 1 - y^{2})

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