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

The derivative of y=(3-e^x)^3 is -3e^x(3-e^x)^2

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

The first derivative of y=(3-e^x)^3 is -3e^x(3-e^x)^2

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derivative of

y = (3 - e^{x})^{3}

- 3 e^{x} (3 - e^{x})^{2}

Solution steps

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

Apply the chain rule:

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

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

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

= 3 (3 - e^{x})^{2} (- e^{x})

Simplify

= - 3 e^{x} (3 - e^{x})^{2}

\frac{d y}{d x} = \frac{8 x}{4 y}

f (x) = \frac{3}{x}

\frac{d}{d x} (\frac{π ( 9 x ^{2} + 6 x + 1 )}{36 x})

\frac{8}{3 x ^{2}}

tan^{9} (x)

What is the derivative of y=(3-e^x)^3 ?
The derivative of y=(3-e^x)^3 is -3e^x(3-e^x)^2
What is the first derivative of y=(3-e^x)^3 ?
The first derivative of y=(3-e^x)^3 is -3e^x(3-e^x)^2