WebThe 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) = ∫ csc2 (x)dx F ( … WebThis means f' (x) = cos (x) and g' (x) = -sin (x). The the quotient rule is structured as [f' (x)*g (x) - f (x)*g' (x)] / g (x)^2. In your question above you noted that the terms should be divided and that is not the case as they should be multiplied together. If we sub in terms to the quotient rule (being careful to keep track of signs) we get ...
2. Derivatives of Csc, Sec and Cot Functions - intmath.com
WebFeb 27, 2024 · Explanation: Let x = csc−1u. u = cscx. du dx = −cscxcotx. 1 + cot2x = csc2x = u2. WebMar 15, 2015 · The derivative if a co function has a minus sign and cofunctions, so d dx (cotx) = −csc2x So, no, I don't know a function whose derivative is csc2x, but I do know one whose derivative is −csc2c. But this reminds me that: d dx ( −cotx) = − ( −csc2x) = csc2x Therefore the antiderivative of csc2x is −cotx + C Answer link graphicsmagick gm
What is the derivative of csc^2(x)? Socratic
WebAccording to the principle definition of the derivative, the derivative of inverse cosecant function with respect to x is written in limit form. d d x ( csc − 1 x) = lim Δ x → 0 csc − 1 ( x + Δ x) − csc − 1 x Δ x. Let h = Δ x, the differential element Δ x can be simply written as h. WebLearn for free about math, art, computer programming, economics, physics, chemistry, biology, medicine, finance, history, and more. Khan Academy is a nonprofit with the mission of providing a free, world-class education for anyone, anywhere. WebBelow is the working for how to derive the derivatives of sec x using this: d/dx (sec x) = d/dx ( (cosx)^-1) = -1 * (cos x)^-2 * d/dx (cos x) = -1 * (cos x)^2 * (-sin x) = sin x/ (cosx)^2 = sec x * tan x The same process can be repeated for cosec x and as can be clearly seen, the results are the same as what Sal gets. Hope I helped! 2 comments chiropractor malanda