WebSep 7, 2024 · Find the derivative of f(x) = cscx + xtanx. Solution To find this derivative, we must use both the sum rule and the product rule. Using the sum rule, we find f′ (x) = d dx(cscx) + d dx(xtanx). In the first term, d dx(cscx) = − cscxcotx, and by applying the product rule to the second term we obtain d dx(xtanx) = (1)(tanx) + (sec2x)(x). WebCollege Board

Calculus Example: What is the derivative of sin((pi x)/6)

WebJan 25, 2016 · For the function formulated in the question, the derivative is f '(x) = 0. However, the question might have meant this derivative instead: f '(x) = − π 2 sin( π 2 x) Explanation: If you meant the function the way that you had typed it, then cos( π 2) is just a coefficient of x and cos( π 2) = 0. Thus, f (x) = cos( π 2) ⋅ x = 0 ⋅ x = 0 Web10 years ago. That's because of the chain rule. In simple terms, when deriving e^A, you will get A'e^A, A' being the derivative of A. Since in the case of e^x, the derivative of x is 1, you simply get e^x. If it was e^2x however, then you would get 2e^2x, due to the derivative of 2x being 2. 1 comment. ( 84 votes) how many gbs is sea of thieves

Derivatives: how to find derivatives Calculus Khan Academy

WebTo find the derivative of this function you need to use the chain rule. Let u = π x, and we know d d u ( cos ( u)) = − sin ( u). Then d d x cos ( π x) = d cos ( u) d u d u d x simplifies to your answer that you found. Share Cite Follow edited Mar 28, 2014 at 3:36 Community Bot 1 answered Oct 24, 2013 at 5:43 grayQuant 2,509 4 30 62 WebDerivative of: Derivative of log(x) Derivative of e^(x^2) Derivative of (sin(x))^2 Derivative of e^-x Identical expressions; picos(pix/ six) Pi co sinus of e of ( Pi x divide by 6) Pi co … WebFind the Derivative - d/d@VAR f (x)=pi/6 Mathway Calculus Examples Popular Problems Calculus Find the Derivative - d/d@VAR f (x)=pi/6 f (x) = π 6 f ( x) = π 6 Since π 6 π 6 is … houthoofdt ucimont