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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\frac{d}{d x} (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}

\frac{\partial}{\partial x} (z ln (x y))

\frac{s + 2}{( s + 1 ) ( s - s ^{2} )}

\int \frac{8 x ^{2} - 4 x + 7}{4 x ^{3} + x ^{2} + 4 x + 1} d x

f (x) = - x^{2} - 4 x + 2, at x = - 1

\frac{d}{d x} (\frac{x ^{2} - 36}{x + 6})

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}