What is the derivative of f(x)=5x^e ?

The derivative of f(x)=5x^e is 5ex^{e-1}

What is the first derivative of f(x)=5x^e ?

The first derivative of f(x)=5x^e is 5ex^{e-1}

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derivative of

f (x) = 5 x^{e}

5 e x^{e - 1}

Solution steps

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

Take the constant out:

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

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

Apply the Power Rule:

\frac{d}{d x} (x^{a}) = a \cdot x^{a - 1}

= 5 e x^{e - 1}

y^{^{'}} = 1 - sin (y), y (0) = 0

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

\int x^{3} - 3 x^{2} d x

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

\int 5 x e^{10 x} d x

What is the derivative of f(x)=5x^e ?
The derivative of f(x)=5x^e is 5ex^{e-1}
What is the first derivative of f(x)=5x^e ?
The first derivative of f(x)=5x^e is 5ex^{e-1}