2 years ago

GIVING ALL MY POINTS! GIVING BRAINLIEST! I have a plagiarism checker-

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The reason fractions need a common denominator before adding or subtracting is so that the numbers of pieces you are adding/subtracting are all the same size. Note that the numerator of a fraction just tells you how many pieces you have of that size.

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What is the derivative of g(x)=e^(x^2+2x)+3x

UNO [17]

Ok first we can split it in two : $e^{x^2+2x}$ and $3x$ .

The derivative of $3x$ is 3.

For the first part, we use the chain rule : $[f(g(x))]'=g'(x)f'(g(x))$ hence $(e^{x^2+2x})'=(x^2+2x)'e^{x^2+2x}$ (since the derivative of the exponential is itself) hence $g'(x)=(2x+2)e^{x^2+2x}+3$