What is (\partial)/(\partial x)(e^{5x}) ?

The answer to (\partial)/(\partial x)(e^{5x}) is e^{5x}*5

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(\partial)/(\partial x)(e^{5x})

\frac{\partial}{\partial x} (e^{5 x})

e^{5 x} \cdot 5

Solution steps

\frac{\partial}{\partial x} (e^{5 x})

Apply the chain rule:

e^{5 x} \frac{\partial}{\partial x} (5 x)

= e^{5 x} \frac{\partial}{\partial x} (5 x)

\frac{\partial}{\partial x} (5 x) = 5

= e^{5 x} \cdot 5

sin (2 x), \frac{π}{2}

f (x) y

f (x) = x^{2} + 3, (- 2, 7)

x \to 3 lim (\frac{( x ^{2} - 24 x + 25 ) ( x + 5 )}{x - 5})

What is (\partial)/(\partial x)(e^{5x}) ?
The answer to (\partial)/(\partial x)(e^{5x}) is e^{5x}*5