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

Compute the slope of

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

(0, 5) : 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})

\int \frac{x + 21}{x ^{2} + 12 x + 40} d x

n = 0 \sum \infty \frac{n ^{3}}{3 ^{n}}

\frac{d}{d x} ((\frac{x ^{3}}{9})^{2})

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

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