What is the tangent of f(x)=x^4+5e^x,(0,5) ?

The tangent of f(x)=x^4+5e^x,(0,5) is y=5x+5

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tangent of f(x)=x^4+5e^x,(0,5)

tangent of

f (x) = x^{4} + 5 e^{x}, (0, 5)

y = 5 x + 5

Solution steps

Find the slope of

f (x) = x^{4} + 5 e^{x} : \frac{df ( x )}{d x} = 4 x^{3} + 5 e^{x}

Compute the slope of

f (x) = x^{4} + 5 e^{x}

(0, 5) : m = 5

Find the line with slope m=

5

and passing through

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

y = 5 x + 5

cos^{2} (x) sin (x) (\frac{d y}{d x}) + (cos^{3} (x)) y = 1

x \to 0 lim (x^{n} \cdot cos (\frac{3}{x}))

\int \frac{4 - 9 x}{x} d x

y = \frac{x ^{2}}{1 + x}

x \to 0 lim (\frac{2 x}{x ^{2} + 1})

What is the tangent of f(x)=x^4+5e^x,(0,5) ?
The tangent of f(x)=x^4+5e^x,(0,5) is y=5x+5