What is the derivative of (1+e^x^3) ?

The derivative of (1+e^x^3) is 3(1+e^x)^2e^x

What is the first derivative of (1+e^x^3) ?

The first derivative of (1+e^x^3) is 3(1+e^x)^2e^x

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

3 (1 + e^{x})^{2} e^{x}

Solution steps

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

Apply the chain rule:

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

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

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

= 3 (1 + e^{x})^{2} e^{x}

e^{- 2 t} cos (3 t)

\frac{\partial}{\partial x} (x e^{y} + x^{4} y + y^{3})

\frac{d}{d x} (ln (x^{2} + y^{4}))

4 cos (5 t)

y^{^{'}} + y = 3

What is the derivative of (1+e^x^3) ?
The derivative of (1+e^x^3) is 3(1+e^x)^2e^x
What is the first derivative of (1+e^x^3) ?
The first derivative of (1+e^x^3) is 3(1+e^x)^2e^x