What is the derivative of e^{x^4+5x} ?

The derivative of e^{x^4+5x} is e^{x^4+5x}(4x^3+5)

What is the first derivative of e^{x^4+5x} ?

The first derivative of e^{x^4+5x} is e^{x^4+5x}(4x^3+5)

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

e^{x^{4} + 5 x} (4 x^{3} + 5)

Solution steps

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

Apply the chain rule:

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

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

\frac{d}{d x} (x^{4} + 5 x) = 4 x^{3} + 5

= e^{x^{4} + 5 x} (4 x^{3} + 5)

y^{^{''}} + 12 y^{^{'}} + 100 y = 0

\int tan^{3} (2 t) sec^{4} (2 t) d t

\int \frac{4}{x ^{2} - 8 x + 12} d x

y^{^{''}} + y^{^{'}} - 6 y = 4 e^{t}, y (0) = 0, y^{^{'}} (0) = 0

x + x^{- \frac{1}{3}}

What is the derivative of e^{x^4+5x} ?
The derivative of e^{x^4+5x} is e^{x^4+5x}(4x^3+5)
What is the first derivative of e^{x^4+5x} ?
The first derivative of e^{x^4+5x} is e^{x^4+5x}(4x^3+5)