What is the derivative of f(x)=9(5^x) ?

The derivative of f(x)=9(5^x) is 9*5^xln(5)

What is the first derivative of f(x)=9(5^x) ?

The first derivative of f(x)=9(5^x) is 9*5^xln(5)

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derivative of

f (x) = 9 (5^{x})

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

Solution steps

\frac{d}{d x} (9 \cdot 5^{x})

Take the constant out:

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

= 9 \frac{d}{d x} (5^{x})

Apply the derivative exponent rule:

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

= 9 \cdot 5^{x} ln (5)

What is the derivative of f(x)=9(5^x) ?
The derivative of f(x)=9(5^x) is 9*5^xln(5)
What is the first derivative of f(x)=9(5^x) ?
The first derivative of f(x)=9(5^x) is 9*5^xln(5)