What is the derivative of (5-e^x^4) ?

The derivative of (5-e^x^4) is -4e^x(5-e^x)^3

What is the first derivative of (5-e^x^4) ?

The first derivative of (5-e^x^4) is -4e^x(5-e^x)^3

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

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

Solution steps

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

Apply the chain rule:

4 (5 - e^{x})^{3} \frac{d}{d x} (5 - e^{x})

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

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

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

Simplify

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

\int_{0}^{\frac{1}{2}} \frac{x ^{2}}{1 - x ^{2}} d x

\frac{d y}{d x} = 3 y - y^{2}

\int \frac{ln ( 7 x )}{x} d x

y = cos (x)

\frac{d}{d t} (- 3 t)

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