What is the derivative of 600000(0.8^x) ?

The derivative of 600000(0.8^x) is -133886.13078…*0.8^x

What is the first derivative of 600000(0.8^x) ?

The first derivative of 600000(0.8^x) is -133886.13078…*0.8^x

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\frac{d}{d x} (600000 (0.8)^{x})

- 133886.13078 \dots \cdot 0. 8^{x}

Solution steps

\frac{d}{d x} (600000 (0.8)^{x})

Take the constant out:

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

= 600000 \frac{d}{d x} (0. 8^{x})

Apply the derivative exponent rule:

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

= 600000 \cdot 0. 8^{x} ln (0.8)

Simplify

600000 \cdot 0. 8^{x} ln (0.8) : - 133886.13078 \dots \cdot 0. 8^{x}

= - 133886.13078 \dots \cdot 0. 8^{x}

What is the derivative of 600000(0.8^x) ?
The derivative of 600000(0.8^x) is -133886.13078…*0.8^x
What is the first derivative of 600000(0.8^x) ?
The first derivative of 600000(0.8^x) is -133886.13078…*0.8^x