WebFind the Derivative - d/dx y=sin(sin(x)) Step 1. Differentiate using the chain rule, which states that is where and . Tap for more steps... To apply the Chain Rule, set as . The … WebLynn. 5 years ago. The derivative of e^u = e^u*du/dx. Therefore, if u=x, the derivative would equal e^x*1, which is the same as e^x. An example of something more complex, …

How do you find the derivative of y = sin (x cos x) using …

WebIf we sub in terms to the quotient rule (being careful to keep track of signs) we get the following: [cos (x)*cos (x) - (sin (x)*-sin (x))]/cos^2 (x) [cos^2 (x) + sin^2 (x)]/cos^2 (x) With the trig identity we know cos^2 (x) + sin^2 (x) = 1 therefore with our final substitution we … WebUse sin x cos x = ( 1 / 2) sin ( 2 x), then substitute u = 2 x. The rest should follow. Share Cite Follow answered Dec 11, 2016 at 6:09 Triskele 316 1 4 Add a comment 0 Look at the identity: sin ( 2 x) = 2 sin ( x) cos ( x) and for the other just factor and use an identity: − x sin 2 ( x) + x cos 2 ( x) = x ( cos 2 ( x) − sin 2 ( x)) = x cos ( 2 x) craftsman bottle cap wrench bottle opener

Differentiating trigonometric functions review (article) Khan …

Webd d x sin x = lim h → 0 sin (x + h) − sin x h Apply the definition of the derivative. = lim h → 0 sin x cos h + cos x sin h − sin x h Use trig identity for the sine of the sum of two … Web2. So I have to find the derivative of. sin n x cos ( n x) if n is a positive integer. I've simplified it down to. n ( cos ( n x)) ( cos ( x)) ( sin n − 1 x) + ( − n) ( sin ( n x)) ( sin n ( x)) using the product rule but according to my textbook I am supposed to get. n ( … WebFind the derivative of the function f(x) = x^2. Solution: f'(x) = 2x. Find the derivative of the function f(x) = sin(x). Solution: f'(x) = cos(x). Find the integral of the function f(x) = x^2. … craftsman bookshelf plans