Question #47033

Ify=e^5x. Determine dy/dx.

5e5x
4e^5x
e^5x
5e^5x

Expert's answer

Answer on Question #47033 – Math - Differential Calculus | Equations

If y=e5xy = e^5x. Determine dy/dx.

Solution.


dydx=de5xdx=e5x(5x)=5e5x. We applied chain rule of differentiation.\frac{dy}{dx} = \frac{de^{5x}}{dx} = e^{5x} * (5x)' = 5e^{5x}. \text{ We applied chain rule of differentiation}.


Answer: 5e5x5e^{5x}.

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