What is the derivative of $5e^(x)+3$ ?

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What is the derivative of $5e^(x)+3$ ?

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Answer 1 · 2016-05-01T10:08:02

$d/dx (5e^x+3)=5e^x$

Explanation:

The derivative of $e^x$ is just $e^x$ . Multiplied by five, and

$d/dx (5e^x)=5e^x$

Since $3$ is a simple constant, its derivative is $0$ , as it does not change the gradient of the graph - think about the graph of $y=3$ and it has a gradient of $0$ .

Therefore,

$d/dx (5e^x+3)=5e^x$

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What is the derivative of $5e^(x)+3$ ?

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