What is the derivative of (1+e^x^4) ?

The derivative of (1+e^x^4) is 4(1+e^x)^3e^x

What is the first derivative of (1+e^x^4) ?

The first derivative of (1+e^x^4) is 4(1+e^x)^3e^x

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\frac{d}{d x} ((1 + e^{x})^{4})

4 (1 + e^{x})^{3} e^{x}

Solution steps

\frac{d}{d x} ((1 + e^{x})^{4})

Apply the chain rule:

4 (1 + e^{x})^{3} \frac{d}{d x} (1 + e^{x})

= 4 (1 + e^{x})^{3} \frac{d}{d x} (1 + e^{x})

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

= 4 (1 + e^{x})^{3} e^{x}

\frac{7 x}{x + 1}

\int cos (x) cos (7 x) d x

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

\frac{d}{d x} (x^{2} 1 - x^{2})

What is the derivative of (1+e^x^4) ?
The derivative of (1+e^x^4) is 4(1+e^x)^3e^x
What is the first derivative of (1+e^x^4) ?
The first derivative of (1+e^x^4) is 4(1+e^x)^3e^x