Find derivative ofcos(sinx)w.r.t. tox View Solution Find derivative oftan−1xw.r.t. tox View Solution Find the derivative ofex(x2+1)w.r.t.x View Solution Doubtnut is No.1 Study App and Learning App with Instant Video Solutions for NCERT Class 6, Class 7, Class 8, Class 9, Cl...
The derivative of y = sin (2 x) + cos (3 x) is in the form y' = a sin (b x) + c cos (d x). What is the value of a + b + c + d? What is the derivative of (a) -tanx (b) cosx (c) sinx (d) tanx (e) -cosx sinx? What is the deriv...
Determine the derivative of f(x) = \dfrac{\tan x}{5 + \sec x}. What is the derivative of this? h(x) = sin (e^3x) What is the derivative of 3 \sin x? What is the derivative of 2x \sin x(3x - 1)^{(\frac{1}{2})}? a) What is the derivative of ln x. b) Differe...
{The\ third\ derivative\ of\ function:} \\&\frac{d\left( \frac{-2cos(x)tan(x)}{ln^{2}(sin(x))sin(x)} + \frac{2sec^{2}(x)}{ln(sin(x))} + \frac{2xcos^{2}(x)tan(x)}{ln^{3}(sin(x))sin^{2}(x)} + \frac{xcos^{2}(x)tan(x)}{ln^{2}(sin(x))sin^{...
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...
Enter an original function (that is, the function to be derived), then set the variable to be derived and the order of the derivative, and click the "Next" button to obtain the derivative function of the corresponding order of the function. ...
7.y=tanx y'=1/cos^2x 8.y=cotx y'=-1/sin^2x 9.y=arcsinx y'=1/√1-x^2 10.y=arccosx y'=-1/√1-x^2 11.y=arctanx y'=1/1+x^2 12.y=arccotx y'=-1/1+x^2 13.y=u^v ==> y'=v' * u^v * lnu + u' * u^(v-1) * v 在推导的过程中有这几个常见的公式需...
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...
ln(x)is+∞.Notethatlngoesoffto+∞at∞ eventhoughitsderivativegoestozeroasx→+∞. (4)Thederivativeofln(x)is1/xandthederivativeofln(kx)isalso1/x.Thederivativeofln(x r )is r/x. (5)Theantiderivativeof1/xisln|x|+C.Whatthisreallymeansisthattheantiderivativeisln(−x)+C whenxis...
(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...