What is the derivative of g(x)=14(1.7^x) ?

The derivative of g(x)=14(1.7^x) is 7.42879…*1.7^x

What is the first derivative of g(x)=14(1.7^x) ?

The first derivative of g(x)=14(1.7^x) is 7.42879…*1.7^x

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derivative of

g (x) = 14 (1. 7^{x})

7.42879 \dots \cdot 1. 7^{x}

Solution steps

\frac{d}{d x} (14 \cdot 1. 7^{x})

Take the constant out:

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

= 14 \frac{d}{d x} (1. 7^{x})

Apply the derivative exponent rule:

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

= 14 \cdot 1. 7^{x} ln (1.7)

Simplify

14 \cdot 1. 7^{x} ln (1.7) : 7.42879 \dots \cdot 1. 7^{x}

= 7.42879 \dots \cdot 1. 7^{x}

What is the derivative of g(x)=14(1.7^x) ?
The derivative of g(x)=14(1.7^x) is 7.42879…*1.7^x
What is the first derivative of g(x)=14(1.7^x) ?
The first derivative of g(x)=14(1.7^x) is 7.42879…*1.7^x