What is the derivative of 9000e^{0.08x}(-0.08) ?

The derivative of 9000e^{0.08x}(-0.08) is -57.6e^{0.08x}

What is the first derivative of 9000e^{0.08x}(-0.08) ?

The first derivative of 9000e^{0.08x}(-0.08) is -57.6e^{0.08x}

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derivative of

9000 e^{0.08 x} (- 0.08)

- 57.6 e^{0.08 x}

Solution steps

\frac{d}{d x} (9000 e^{0.08 x} (- 0.08))

Simplify

9000 e^{0.08 x} (- 0.08) : - 720 e^{0.08 x}

= \frac{d}{d x} (- 720 e^{0.08 x})

Take the constant out:

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

= - 720 \frac{d}{d x} (e^{0.08 x})

Apply the chain rule:

e^{0.08 x} \frac{d}{d x} (0.08 x)

= e^{0.08 x} \frac{d}{d x} (0.08 x)

\frac{d}{d x} (0.08 x) = 0.08

= - 720 e^{0.08 x} \cdot 0.08

Simplify

= - 57.6 e^{0.08 x}

\frac{d}{d x} ((5 x - 1)^{3} (x^{2} + 1)^{5})

f (x) = 8 - 2 x^{2}, at x = 0

\int x 2 x + 5 d x

f (x) = 25 x^{\frac{4}{5}}

\int tan^{2} (x) + tan^{4} (x) d x

What is the derivative of 9000e^{0.08x}(-0.08) ?
The derivative of 9000e^{0.08x}(-0.08) is -57.6e^{0.08x}
What is the first derivative of 9000e^{0.08x}(-0.08) ?
The first derivative of 9000e^{0.08x}(-0.08) is -57.6e^{0.08x}