# What is the derivative of #g(x)=x^3 cos x#?

Thus, the Product Rule states that the derivative is equal to:

And from our knowledge of derivatives of trig functions

We can now plug these values into the product rule expression to get

We can rewrite this as

If the Power or Product Rules seem foreign to you, I encourage you to Google them or go to Khan Academy to understand them more.

Hope this helps!

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The derivative of g(x) = x^3 * cos(x) is g'(x) = 3x^2 * cos(x) - x^3 * sin(x).

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When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

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