What is the derivative of f(x)=e^{sqrt(x^3+1)} ?

The derivative of f(x)=e^{sqrt(x^3+1)} is (3e^{sqrt(x^3+1)}x^2)/(2sqrt(x^3+1))

What is the first derivative of f(x)=e^{sqrt(x^3+1)} ?

The first derivative of f(x)=e^{sqrt(x^3+1)} is (3e^{sqrt(x^3+1)}x^2)/(2sqrt(x^3+1))

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derivative of

f (x) = e^{x^{3} + 1}

\frac{3 e ^{x^{3} + 1} x ^{2}}{2 x ^{3} + 1}

Solution steps

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

Apply the chain rule:

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

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

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

= e^{x^{3} + 1} \frac{3 x ^{2}}{2 x ^{3} + 1}

Multiply fractions:

a \cdot \frac{b}{c} = \frac{a \cdot b}{c}

= \frac{3 e ^{x^{3} + 1} x ^{2}}{2 x ^{3} + 1}

y = \frac{1}{2 x - 1}

f (x) = \frac{x ^{3} + 5}{x ^{2} + 1}

\frac{d}{d x} (arccos (2 x^{2}))

\int 2 + t^{2} d t

What is the derivative of f(x)=e^{sqrt(x^3+1)} ?
The derivative of f(x)=e^{sqrt(x^3+1)} is (3e^{sqrt(x^3+1)}x^2)/(2sqrt(x^3+1))
What is the first derivative of f(x)=e^{sqrt(x^3+1)} ?
The first derivative of f(x)=e^{sqrt(x^3+1)} is (3e^{sqrt(x^3+1)}x^2)/(2sqrt(x^3+1))