What is the derivative of 4(e^x)^9 ?

The derivative of 4(e^x)^9 is 36e^{9x}

What is the first derivative of 4(e^x)^9 ?

The first derivative of 4(e^x)^9 is 36e^{9x}

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derivative of

4 (e^{x})^{9}

36 e^{9 x}

Solution steps

\frac{d}{d x} (4 (e^{x})^{9})

Simplify

4 (e^{x})^{9} : 4 e^{9 x}

= \frac{d}{d x} (4 e^{9 x})

Take the constant out:

(a \cdot f)^{'} = a \cdot f^{'}

= 4 \frac{d}{d x} (e^{9 x})

Apply the chain rule:

e^{9 x} \frac{d}{d x} (9 x)

= e^{9 x} \frac{d}{d x} (9 x)

\frac{d}{d x} (9 x) = 9

= 4 e^{9 x} \cdot 9

Simplify

= 36 e^{9 x}

y^{^{''}} - y^{^{'}} = x

\frac{d}{d x} ((2 x)^{- 4} - (2 t^{- 1})^{2})

(4 x^{2} - 5 x) e^{x}

7 - x^{2}, x^{2} - 1

\frac{d}{d x} (\frac{sin ( \frac{π}{2} x )}{x})

What is the derivative of 4(e^x)^9 ?
The derivative of 4(e^x)^9 is 36e^{9x}
What is the first derivative of 4(e^x)^9 ?
The first derivative of 4(e^x)^9 is 36e^{9x}