What is the derivative of 5(2^x) ?

The derivative of 5(2^x) is 5*2^xln(2)

What is the first derivative of 5(2^x) ?

The first derivative of 5(2^x) is 5*2^xln(2)

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derivative of

5 (2^{x})

5 \cdot 2^{x} ln (2)

Solution steps

\frac{d}{d x} (5 \cdot 2^{x})

Take the constant out:

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

= 5 \frac{d}{d x} (2^{x})

Apply the derivative exponent rule:

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

= 5 \cdot 2^{x} ln (2)

What is the derivative of 5(2^x) ?
The derivative of 5(2^x) is 5*2^xln(2)
What is the first derivative of 5(2^x) ?
The first derivative of 5(2^x) is 5*2^xln(2)