What is the derivative of P(t)=25e^{0.3t} ?

The derivative of P(t)=25e^{0.3t} is 7.5e^{0.3t}

What is the first derivative of P(t)=25e^{0.3t} ?

The first derivative of P(t)=25e^{0.3t} is 7.5e^{0.3t}

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derivative of

P (t) = 25 e^{0.3 t}

7.5 e^{0.3 t}

Solution steps

\frac{d}{d t} (25 e^{0.3 t})

Take the constant out:

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

= 25 \frac{d}{d t} (e^{0.3 t})

Apply the chain rule:

e^{0.3 t} \frac{d}{d t} (0.3 t)

= e^{0.3 t} \frac{d}{d t} (0.3 t)

\frac{d}{d t} (0.3 t) = 0.3

= 25 e^{0.3 t} \cdot 0.3

Simplify

= 7.5 e^{0.3 t}

\frac{\partial ^{2}}{\partial x \partial y} (x arcsin (\frac{y}{x}))

\frac{2}{s ^{2} + 2 s + 2}

- x^{2} + x + a

\frac{d}{d x} (8 x^{5} + 45 x^{4} + 80 x^{3} + 50 x^{2} + 200)

What is the derivative of P(t)=25e^{0.3t} ?
The derivative of P(t)=25e^{0.3t} is 7.5e^{0.3t}
What is the first derivative of P(t)=25e^{0.3t} ?
The first derivative of P(t)=25e^{0.3t} is 7.5e^{0.3t}