If y=sin(x²+7) find Dy/Dx

Step-by-step explanation:

Given:

Find:

For this problem, it looks like we are going to use the chain rule. We have to functions, let's label them:

Let's remember that the chain rule is: or

Since these functions are basic, I will be using the rule, but both rules always work. We need to find and

Remember that the derivative of is . Make sure you know all your trig derivatives. Now that we know all our variables, we can plug them in. We will take and plug it into and multiply it all by .

Since nothing else can be done to reduce this expression, your answer is:

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