What is the tangent of f(x)=5e^x+x,(0,5) ?

The tangent of f(x)=5e^x+x,(0,5) is y=6x+5

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tangent of f(x)=5e^x+x,(0,5)

tangent of

f (x) = 5 e^{x} + x, (0, 5)

y = 6 x + 5

Solution steps

Find the slope of

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

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 = 6

Find the line with slope m=

6

and passing through

(0, 5) : y = 6 x + 5

y = 6 x + 5

x \to b lim (\frac{x - b}{x - b})

\frac{\partial}{\partial y} (\frac{1}{y})

x \to 1 lim (cos (\frac{1}{x - 1}))

t an g e n t y = x^{3} - 3 x + 3, (3, 21)

x \to \frac{π}{2} lim (\frac{sec ( x )}{sec ( 3 x )})

What is the tangent of f(x)=5e^x+x,(0,5) ?
The tangent of f(x)=5e^x+x,(0,5) is y=6x+5