What is the derivative of f(x)=e^{x^2+5x} ?

The derivative of f(x)=e^{x^2+5x} is e^{x^2+5x}(2x+5)

What is the first derivative of f(x)=e^{x^2+5x} ?

The first derivative of f(x)=e^{x^2+5x} is e^{x^2+5x}(2x+5)

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derivative of

f (x) = e^{x^{2} + 5 x}

e^{x^{2} + 5 x} (2 x + 5)

Solution steps

\frac{d}{d x} (e^{x^{2} + 5 x})

Apply the chain rule:

e^{x^{2} + 5 x} \frac{d}{d x} (x^{2} + 5 x)

= e^{x^{2} + 5 x} \frac{d}{d x} (x^{2} + 5 x)

\frac{d}{d x} (x^{2} + 5 x) = 2 x + 5

= e^{x^{2} + 5 x} (2 x + 5)

\int_{0}^{π} sin^{2} (θ) d θ

n \to \infty lim (x + \frac{x}{n})

\int (x^{2} - 2 x + 5) e^{x} d x

\int cos (- 2 x) d x

\frac{d x}{d t} + x = 3 e^{t}

What is the derivative of f(x)=e^{x^2+5x} ?
The derivative of f(x)=e^{x^2+5x} is e^{x^2+5x}(2x+5)
What is the first derivative of f(x)=e^{x^2+5x} ?
The first derivative of f(x)=e^{x^2+5x} is e^{x^2+5x}(2x+5)