9–61. Evaluate and simplify y'.

y = e^si...

Question

9–61. Evaluate and simplify y'.

y = e^sin x+2x+1

Accepted Answer

Calculate the derivative of the function G of T equals E, raises the 2 T plus 10T minus 4. Where there are 4 possible answers. All them variations of our function E2T plus TNT minus 4. Now, to solve this derivative, we will make use of the chain rule. Now, before we do that, let's make a substitution for our function. We have E To the 2 T plus 10T minus 4. And if we let you, Equals our exponent. We're gonna be right this. As he raises to the U. Now, we know the derivative of E to the U. This will be E to the U multiplied. By DU DT. So this is the chain rule where we have our outer function e to the U. That derivative is multiplied by the derivative of our inner function of you. So then we can say DU DT is equivalent to the derivative of U. Which in our case, is 2. And the derivative of a tangent T. The 2 squared T. So now we can combine everything in our function. We get Raise City 2 T. Plus tangent T minus 4. All multiplied By our DUDT, which is 2. Plus sequent square of T. This is the answer to our problem. And we can see if we rearrange this, the answer to our problem. This answer B 2 + 2 square T multiplied by E 2 T plus 10 T minus 4. OK, I hope to help you solve the problem. Thank you for watching. Goodbye.

9–61. Evaluate and simplify y'.y = e^sin x+2x+1

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9–61. Evaluate and simplify y'.

y = e^sin x+2x+1