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queen salote college calculus revision on derivatives differentiation 2…

Question

queen salote college calculus revision on derivatives differentiation 2020: q3. find the derivative of the following. you do not need to simplify your answer. f(x)=2e^{-5x} sl = 1

Explanation:

Step1: Recall derivative rule

For $y = ae^{bx}$, the derivative $y'=abe^{bx}$, where $a = 2$ and $b=- 5$.

Step2: Apply the rule

$f'(x)=2\times(-5)e^{-5x}$

Answer:

$-10e^{-5x}$