Question

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Evaluate

Answer 1

Answer:

$\approx 4.39 \cdot 3^x$

Step-by-step explanation:

Recall a property:

$(c\cdot f(x))'=c\cdot f(x)'$, where $c$ is a constant.

Apply the property to the task:

$(4\cdot 3^{x})'=4\cdot (3^x)'$

Recall a property of the derivative of an exponential function:

$(a^x)'=a^x \cdot \ln{a}$

Apply the property to the task:

$4\cdot 3^x \cdot \ln 3$

Since $\ln 3\approx 1.0986$, it follows:

   $4\cdot 3^x \cdot \ln 3 \approx 4\cdot 1.0986 \cdot \ln3$

Multiply the numbers.

The answer is about $4.39\cdot 3^x$.