Find the derivative of the following functions.
y = sin ...

Question

Find the derivative of the following functions.

y = sin x + cos x

Accepted Answer

Welcome back, everyone. Find the derivative of the function Y equals 3 cosine x + 4 X. We're given 4 answer choices A says 3 cosine x + 4 X B 3 x + 4 cosine x, C 3 x minus 4 cosine X, and D 3 x + 4 cosine x. So what we're going to do is simply evaluate the derivative of this function Y equals 3 cosine of x plus 4 X. Now let's find the derivative. Y is going to be equal to the derivative of 3 cosine of x plus 4 X. And now because we have a sum, while we can apply. The derivative for each term we're distributing, right, and we can factor out each constant so we get 3 multiplied by the derivative of cosine of x plus 4 once again we're factoring out the 4 multiplied by the derivative of sine of X. So as we can see, we need to recall the derivatives of sine of X and cosine of X, and we can use the table of basic derivatives. The derivative of sine is equal to cosine of X, and the derivative of cosine is negative sine of x. So we can substitute these and we're going to get 3 multiplied by negatives of x which gives us -3 x plus 4 multiplied by cosine of X. And now if we consider the answer choices, we can conclude that the correct answer to this problem corresponds to the answer choice B. Thank you for watching.

Find the derivative of the following functions.y = sin x + cos x

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Find the derivative of the following functions.
y = sin x + cos x