The derivative of sec^2x is equal to 2 sec^2x tanx. It is mathematically written as d(sec^2x)/dx = 2 sec2x tanx.
7. (TaNx) y'=1/ tangent function y= (cosx) ^2 8. (Cotx) y'=-1/ cotangent function y= (SiNx) ^2 9. y= (inverse sine function arcsinx y'=1/ 1-x^2 10.) V arccosine function y= (arccosx) y'=-1/ 1-x^2 11. V arctan function y= (arctanx) y'=1/ (1+x^2) 12...
The derivative of secx is $$\d{y}{x} secx =secx tanx $$ But if $$x = \frac{\pi}{3}$$, then $$secx = 2 $$ and the derivative of a constant is 0. And $$sec\frac{\pi}{3} tan\frac{\pi}{3}$$ is equal to $$\frac{3}{2}$$ So what is the derivative of $$secx...
Show that the derivative of f(x) = (sin x - cos x)/(sin x + cos x) is 2/(sin(2x) + 1). Prove the following identity. cosx/1-sinx - tanx = secx Use sin(x + \alpha) - sin x = 2 sin \frac{1}{2}\alph...
Differentiate both sides of the double angle identity sin 2x = 2 sin x cos x to determine an identity for cos x. Find the first derivative. Write an expression for the following derivative. Prove that sin(x y)/cosxsiny = tanxcoty 1. Prove the given identity. sin(...
(TaNx)y'=1/tangentfunctiony=(cosx)^28.(Cotx)y'=-1/cotangentfunctiony=(SiNx)^29.y=(inversesinefunctionarcsinxy'=1/1-x^210.)Varccosinefunctiony=(arccosx)y'=-1/1-x^211.Varctanfunctiony=(arctanx)y'=1/(1+x^2)12.-y=(arccotx)y'=-1/cotangentfunction(1+x^2)inorderto...
What Is the Limit of (x - tan(x)) / x³ as x Approaches 0? <Moderator's note: Moved from a technical forum and thus no template.> $$\lim_{x\rightarrow 0} (x-tanx)/x^3$$ I solve it like this, $$\lim_{x\rightarrow 0}1/x^2 - tanx/x^3=\lim_{x\rightarrow 0}1...
Use the definition of the derivative and the trigonometric identity cos(x+h)=cos(x)cos(h)−sin(x)sin(h)to prove thatddxcos(x)=−sinx Equivalent Infinitesimals: Equivalent infinitesimal is a useful techn...
Rewrite the expression tanx+cotx/cscx in terms of cosx. Complete the proof of the identity by choosing the rule that satisfies each step. (\csc^2 x - 1)\sin x = \cos^2 x\csc c Verify the identity. cot^2 2x + sec^2 2x - tan^2 2x = csc^2 2x Verify that the trigonometric ...