What is the derivative of 5*3^x ?

The derivative of 5*3^x is 5*3^xln(3)

What is the first derivative of 5*3^x ?

The first derivative of 5*3^x is 5*3^xln(3)

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derivative of

5 \cdot 3^{x}

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

Solution steps

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

Take the constant out:

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

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

Apply the derivative exponent rule:

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

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

\int_{0}^{1} 4 cos (x^{2}) d x

\int_{- 20}^{0} \frac{1}{16 - x} d x

\frac{e ^{- 2 s}}{( s ^{2} + 16 )}

y = 4 x, x = 4, y = \frac{4}{x}

\int_{0}^{1} (x^{3} - 1) d x

What is the derivative of 5*3^x ?
The derivative of 5*3^x is 5*3^xln(3)
What is the first derivative of 5*3^x ?
The first derivative of 5*3^x is 5*3^xln(3)