What is the derivative of 100(5.6^x) ?

The derivative of 100(5.6^x) is 172.27665…*5.6^x

What is the first derivative of 100(5.6^x) ?

The first derivative of 100(5.6^x) is 172.27665…*5.6^x

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\frac{d}{d x} (100 (5.6)^{x})

172.27665 \dots \cdot 5. 6^{x}

Solution steps

\frac{d}{d x} (100 (5.6)^{x})

Take the constant out:

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

= 100 \frac{d}{d x} (5. 6^{x})

Apply the derivative exponent rule:

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

= 100 \cdot 5. 6^{x} ln (5.6)

Simplify

100 \cdot 5. 6^{x} ln (5.6) : 172.27665 \dots \cdot 5. 6^{x}

= 172.27665 \dots \cdot 5. 6^{x}

What is the derivative of 100(5.6^x) ?
The derivative of 100(5.6^x) is 172.27665…*5.6^x
What is the first derivative of 100(5.6^x) ?
The first derivative of 100(5.6^x) is 172.27665…*5.6^x