What is the derivative of (e^x)^{200} ?

The derivative of (e^x)^{200} is e^{200x}*200

What is the first derivative of (e^x)^{200} ?

The first derivative of (e^x)^{200} is e^{200x}*200

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derivative of

(e^{x})^{200}

e^{200 x} \cdot 200

Solution steps

\frac{d}{d x} ((e^{x})^{200})

Simplify

(e^{x})^{200} : e^{200 x}

= \frac{d}{d x} (e^{200 x})

Apply the chain rule:

e^{200 x} \frac{d}{d x} (200 x)

= e^{200 x} \frac{d}{d x} (200 x)

\frac{d}{d x} (200 x) = 200

= e^{200 x} \cdot 200

((x^{9}) + 2 x)^{4}

5^{x + y}

y = \frac{x}{( x + 1 ) ^{\frac{1}{2}}}

2^{u}

\frac{1}{lo g _{3} ( 1 - 2 x )}

What is the derivative of (e^x)^{200} ?
The derivative of (e^x)^{200} is e^{200x}*200
What is the first derivative of (e^x)^{200} ?
The first derivative of (e^x)^{200} is e^{200x}*200