What is the derivative of 6.687(0.931^x) ?

The derivative of 6.687(0.931^x) is -0.47809…*0.931^x

What is the first derivative of 6.687(0.931^x) ?

The first derivative of 6.687(0.931^x) is -0.47809…*0.931^x

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\frac{d}{d x} (6.687 (0.931)^{x})

- 0.47809 \dots \cdot 0.93 1^{x}

Solution steps

\frac{d}{d x} (6.687 (0.931)^{x})

Take the constant out:

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

= 6.687 \frac{d}{d x} (0.93 1^{x})

Apply the derivative exponent rule:

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

= 6.687 \cdot 0.93 1^{x} ln (0.931)

Simplify

6.687 \cdot 0.93 1^{x} ln (0.931) : - 0.47809 \dots \cdot 0.93 1^{x}

= - 0.47809 \dots \cdot 0.93 1^{x}

What is the derivative of 6.687(0.931^x) ?
The derivative of 6.687(0.931^x) is -0.47809…*0.931^x
What is the first derivative of 6.687(0.931^x) ?
The first derivative of 6.687(0.931^x) is -0.47809…*0.931^x