What is the tangent of f(x)=1+5e^x,\at x=1 ?

The tangent of f(x)=1+5e^x,\at x=1 is y=5ex+1

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tangent of f(x)=1+5e^x,\at x=1

tangent of

f (x) = 1 + 5 e^{x}, at x = 1

y = 5 e x + 1

Solution steps

Find the tangent point:

(1, 1 + 5 e)

Find the slope of

f (x) = 1 + 5 e^{x} : \frac{df ( x )}{d x} = 5 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 = 5 e

Find the line with slope m=

5 e

and passing through

(1, 1 + 5 e) : y = 5 e x + 1

y = 5 e x + 1

What is the tangent of f(x)=1+5e^x,\at x=1 ?
The tangent of f(x)=1+5e^x,\at x=1 is y=5ex+1