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). WebNov 8, 2010 · [tex] y' = \pi 6^{sin(\pi x)}(ln(6))(cos(\pi x)) [/tex] which does not appear to be what you suggested doing, as the derivative does not contain an e term at all. I just follow the book step by step so I am unaware of how the natural log of 6 actually comes in here. Could you possibly clarify what exactly went on here with my solution? thanks Dick!
Derivative Calculator: Wolfram Alpha
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 WebThis calculator computes first second and third derivative using analytical differentiation. You can also evaluate derivative at a given point. It uses product quotient and chain rule to find derivative of any function. The calculator tries to simplify result as much as possible. ford koons security blvd
Derivative Calculator - Mathway
WebWhat are derivatives? The derivative is an important tool in calculus that represents an infinitesimal change in a function with respect to one of its variables. Given a function f (x) f ( x), there are many ways to denote the derivative of f f with respect to x x. The most common ways are df dx d f d x and f ′(x) f ′ ( x). WebDerivative Calculator Step 1: Enter the function you want to find the derivative of in the editor. The Derivative Calculator supports solving first, second...., fourth derivatives, as … WebFind the Antiderivative sin (pix) sin(πx) sin ( π x) Write sin(πx) sin ( π x) as a function. f (x) = sin(πx) f ( x) = sin ( π x) The function F (x) F ( x) can be found by finding the indefinite integral of the derivative f (x) f ( x). F (x) = ∫ f (x)dx F ( x) = ∫ f ( x) d x Set up the integral to solve. F (x) = ∫ sin(πx)dx F ( x) = ∫ sin ( π x) d x ford koss headphones