WebFind the derivative (i) sin x cos x. Medium. View solution > View more. More From Chapter. Continuity and Differentiability. View chapter > Shortcuts & Tips . Cheatsheets > Problem solving tips > Common Misconceptions > Important Diagrams > Mindmap > Memorization tricks > Practice more questions . JEE Mains Questions. 1 Qs > Easy Questions. WebJul 3, 2016 · Explanation: Let f (x) = (x2)(sinx), then f (x) = g(x) ×h(x). The derivative of this function is given by f '(x) = (g'(x) × h(x)) + (h'(x) ×g(x)) The derivative of h(x) or sinx is …
Calculus problems with answers - Find the derivative of the
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. Solution: ∫f(x)dx = (1/3)x^3 + C, where C is the constant of integration. Find the integral of the function f(x) = sin(x). Solution: ∫f(x)dx = -cos(x ... WebDec 1, 2024 · As an easier example, consider the derivative of f ( x) = x 2 at x = 0. By your reasoning the function must not have a derivative, while it does have it, because: lim x → 0 − x 2 − 0 x − 0 = 0 and lim x → 0 + x 2 − 0 x − 0 = 0. Share Cite Follow edited Dec 1, 2024 at 7:27 answered Dec 1, 2024 at 6:34 farruhota 31k 2 17 51 Add a comment 0 bkwin.info
3.5: Derivatives of Trigonometric Functions - Mathematics …
WebHere are some examples illustrating how to ask for a derivative. derivative of arcsin. derivative of lnx. derivative of sec^2. second derivative of sin^2. derivative of arctanx at … WebSep 7, 2024 · We can find the derivatives of sin x and cos x by using the definition of derivative and the limit formulas found earlier. With these two formulas, we can determine the derivatives of all six basic … WebSolution: The second derivative of xsinx can be found by differentiating the first derivative of xsinx. Hence, we will differentiate the derivative of xsinx which is xcosx + sinx. d 2 (xsinx)/dx 2 = d (xcosx + sinx)/dx = d (xcosx)/dx + d (sinx)/dx = (dx/dx) cosx + x d (cosx)/dx + cosx = cosx - xsinx + cosx = 2 cosx - xsinx daughters facebook