What is the derivative of (3-e^x^8) ?

The derivative of (3-e^x^8) is -8e^x(3-e^x)^7

What is the first derivative of (3-e^x^8) ?

The first derivative of (3-e^x^8) is -8e^x(3-e^x)^7

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\frac{d}{d x} ((3 - e^{x})^{8})

- 8 e^{x} (3 - e^{x})^{7}

Solution steps

\frac{d}{d x} ((3 - e^{x})^{8})

Apply the chain rule:

8 (3 - e^{x})^{7} \frac{d}{d x} (3 - e^{x})

= 8 (3 - e^{x})^{7} \frac{d}{d x} (3 - e^{x})

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

= 8 (3 - e^{x})^{7} (- e^{x})

Simplify

= - 8 e^{x} (3 - e^{x})^{7}

\frac{d}{d x} (180 - \frac{x ^{2}}{45})

f (x) = 8 1 + x

\frac{d}{d x} (12 x^{2} + 6 x - 6)

\frac{d}{d x} (\frac{1}{x ^{27}})

x = 22 y^{2}, x = 5 y^{3}

What is the derivative of (3-e^x^8) ?
The derivative of (3-e^x^8) is -8e^x(3-e^x)^7
What is the first derivative of (3-e^x^8) ?
The first derivative of (3-e^x^8) is -8e^x(3-e^x)^7