What is the derivative of e-5x+e^3x ?

The derivative of e-5x+e^3x is e^3-5

What is the first derivative of e-5x+e^3x ?

The first derivative of e-5x+e^3x is e^3-5

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derivative of

e - 5 x + e^{3} x

e^{3} - 5

Solution steps

\frac{d}{d x} (e - 5 x + e^{3} x)

Apply the Sum/Difference Rule:

(f \pm g)^{'} = f^{'} \pm g^{'}

= \frac{d e}{d x} - \frac{d}{d x} (5 x) + \frac{d}{d x} (e^{3} x)

\frac{d e}{d x} = 0

\frac{d}{d x} (5 x) = 5

\frac{d}{d x} (e^{3} x) = e^{3}

= 0 - 5 + e^{3}

Simplify

= e^{3} - 5

f (x) = \frac{2 x ^{3} + 4 x}{x ^{2} + 3}

\int_{- 1}^{3} (1 + 3 x) d x

\int \frac{1}{x 10 x + 49} d x

\int \frac{x ^{3} + 2 x - 3}{x} d x

\frac{d}{d x} (2 x^{2} + 3 x + 1)

What is the derivative of e-5x+e^3x ?
The derivative of e-5x+e^3x is e^3-5
What is the first derivative of e-5x+e^3x ?
The first derivative of e-5x+e^3x is e^3-5