What is the derivative of 200(e)^{0.03x} ?

The derivative of 200(e)^{0.03x} is 6e^{0.03x}

What is the first derivative of 200(e)^{0.03x} ?

The first derivative of 200(e)^{0.03x} is 6e^{0.03x}

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derivative of

200 (e)^{0.03 x}

6 e^{0.03 x}

Solution steps

\frac{d}{d x} (200 e^{0.03 x})

Take the constant out:

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

= 200 \frac{d}{d x} (e^{0.03 x})

Apply the chain rule:

e^{0.03 x} \frac{d}{d x} (0.03 x)

= e^{0.03 x} \frac{d}{d x} (0.03 x)

\frac{d}{d x} (0.03 x) = 0.03

= 200 e^{0.03 x} \cdot 0.03

Simplify

= 6 e^{0.03 x}

y = x^{4} - 3 x^{2} + 3, y = x^{2}

y = 5 x^{2} - x^{3}, (1, 4)

x \to 2 lim (\frac{2}{x})

\int 8 x + cos (x) d x

What is the derivative of 200(e)^{0.03x} ?
The derivative of 200(e)^{0.03x} is 6e^{0.03x}
What is the first derivative of 200(e)^{0.03x} ?
The first derivative of 200(e)^{0.03x} is 6e^{0.03x}