What is the derivative of e^{5x+2x^2} ?

The derivative of e^{5x+2x^2} is e^{5x+2x^2}(5+4x)

What is the first derivative of e^{5x+2x^2} ?

The first derivative of e^{5x+2x^2} is e^{5x+2x^2}(5+4x)

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

e^{5 x + 2 x^{2}} (5 + 4 x)

Solution steps

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

Apply the chain rule:

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

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

\frac{d}{d x} (5 x + 2 x^{2}) = 5 + 4 x

= e^{5 x + 2 x^{2}} (5 + 4 x)

\frac{d}{d x} (\frac{1}{2} arctan (\frac{x + 1}{2}))

\int sec (t) (sec (t) + tan (t)) d t

\int v^{- \frac{7}{8}} d v

y = 3 x - x^{2}, y = 0

\int \frac{3}{x ^{2} + x + 1} d x

What is the derivative of e^{5x+2x^2} ?
The derivative of e^{5x+2x^2} is e^{5x+2x^2}(5+4x)
What is the first derivative of e^{5x+2x^2} ?
The first derivative of e^{5x+2x^2} is e^{5x+2x^2}(5+4x)