WebThe derivative of secant squared is equal to two times tangent times secant squared, 2tan(x)sec 2 (x). This derivative can be found by using the chain rule and the … 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 ... Sine-squared of x. That's zero. So we get negative cosine of x over sine-squared of x. So that's one way to think about it. Or if you like, you could do ...

Antiderivative Calculator - Symbolab

WebIf we accept that d/dx (cos x) = − sin x, and the power rule then: sec x ≡ 1/cos x Let u = cos x, thus du = − sin x dx sec x = 1/u (1/u) = (u⁻¹) By the power rule: derivative of (u⁻¹) = −u⁻² du Back substituting: = − (cos x)⁻² ( − sin x) ∙ dx = [sin x / (cos x)²] ∙ dx = [ (sin x / cos x) ∙ (1/cos x)] ∙ dx = [tan (x) ∙ sec (x)] ∙ dx 5 comments WebHint: ∫ x16x2−9dx = ∫ x(4x)2−9dx you can make v = 4x,dv = 4dx then you get ∫ vv2−9dv now you can solve the integral above with the ... = ∫ θtan3(θ)2sec4(θ)2dθ Put θ2 = x Hence we get = 21 ∫ tan3xsec4xdx Put u = tanx = 21 ∫ u3(1+ u2)du = 21 ∫ u3 + 21 ∫ u5du = 8tan4(θ)2 + 12tan6(θ)2 + C. Fix an elliptic curve E ... how to slow down vba

Derivative Calculator - Mathway

WebMar 30, 2010 · The derivative of sec (x) is sec (x) tan (x). What is the derivative of y equals sec x? sec (x)tan (x) What is the second derivitive of sec x? Write sec x as a... WebAfter you've mastered the derivatives of the basic trigonometric functions, you can differentiate trigonometric functions whose arguments are polynomials, like \sec\left (\dfrac {3\pi} {2}-x\right) sec( 23π −x). Practice set 3: general trigonometric functions Problem … WebJun 4, 2016 · Explanation: sec(x) = 1 cos(x) So we want to calculate d dx 1 cos(x) = d dx (cos(x)−1) for the chain rule this is equal to d dx (cos(x)−1) = −cos(x)−2 ⋅ d dx cos(x) = − 1 cos(x)2 ⋅ ( −sin(x)) = sin(x) cos(x)2 or, if … novant health competitors