What is the derivative of 5^{3x} ?

The derivative of 5^{3x} is 3ln(5)*125^x

What is the first derivative of 5^{3x} ?

The first derivative of 5^{3x} is 3ln(5)*125^x

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derivative of

5^{3 x}

3 ln (5) \cdot 12 5^{x}

Solution steps

\frac{d}{d x} (5^{3 x})

Simplify

5^{3 x} : 12 5^{x}

= \frac{d}{d x} (12 5^{x})

Apply the derivative exponent rule:

\frac{d}{d x} (a^{x}) = a^{x} ln (a)

= 12 5^{x} ln (125)

Simplify

ln (125) : 3 ln (5)

= 3 ln (5) \cdot 12 5^{x}

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

\frac{\partial}{\partial x} (e^{x^{2} + y^{2}} \cdot 2 x)

\int \frac{2 y}{1 + y ^{2}} d y

\int tanh (2 x) ln (cosh (2 x)) d x

cos (x), x^{2} + 2, [1, 2]

What is the derivative of 5^{3x} ?
The derivative of 5^{3x} is 3ln(5)*125^x
What is the first derivative of 5^{3x} ?
The first derivative of 5^{3x} is 3ln(5)*125^x