Name: 08-2 工作示例：sin(x) 和 cos(x) 的導數（Worked example: Derivatives of sin(x) and cos(x) | Derivative rules | AP Calculus AB | Khan Academy）
Uploaded: 2022-07-12T12:31:31.000Z
Duration: 5 min 14 s
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- [Voiceover] What we want to do is find the

actually do this with the tools already in our tool kit.

which tells us the derivative with respect to X.

So using just that we can actually evaluate this.

So, pause the video and see if you can do it.

So probably the most intimidating part of this

of X and cosine of X is this expression here.

or simplify it a little bit so it takes a form

that you might be a little bit more familiar with.

We're gonna take X to the one third power

because this is a good review of exponent property.

times X to the negative two thirds power.

you're like, oh, I can see how the power rule

of each of these pieces of this expression.

we want to evaluate what the G prime of X is.

You could view it as a derivative with respect

this is going to be seven times the derivative

this is gonna be three, or we're subtracting,

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08-2 工作示例：sin(x) 和 cos(x) 的導數（Worked example: Derivatives of sin(x) and cos(x) | Derivative rules | AP Calculus AB | Khan Academy）

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