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Find the derivative of the function.$F(x)=\left(x^{4}+3 x^{2}-2\right)^{5}$

$F^{\prime}(x)=\left(20 x^{3}+30 x\right)\left(x^{4}+3 x^{2}-2\right)^{4}$

Calculus 1 / AB

Chapter 3

Derivatives

Section 5

The Chain Rule

Missouri State University

Harvey Mudd College

Baylor University

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this question gives us off our backs is ext the fourth plus three X squared Rennes Toots the Power five and asked us to find the derivative. What we know is that for the first part, we can take the exponents and make it our new coefficient. What's inside stays the same and then we can decrease the experiment by one to make it for now. Next part. Let's use the chain rule, Which means let's take the derivative of the inside. The derivative of X to the fourth is for X cubed, the derivative of three X squared is sex sex and then lost Lee. It's usually good form to simplify. We can simplify this to be 20 acts cubed plus 30 acts Times X the fourth plus three X squared minus two to the power for

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The number 2 is also the smallest & first prime number (since every other even number is divisible by two).

If you write pi (to the first two decimal places of 3.14) backwards, in big, block letters it actually reads "PIE".

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