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Syllabus

derivative using first principle -

sin_/x

(sin under root x)Differentiate sinx/x from the first principle.

integrate x^6+1/x^2+1

derivative of 1)logx by first principle

Q21. A particle of mass

mattached to the end of string of length $\mathcal{l}$ is released from the initial positionAas shown in the figure. The particle moves in a vertical circular path aboutO. When it is vertically below O, the string makes contact with nailNplaced directly belowOat distance h and rotates around it. If the particle just complete the vertical circle aboutN, then$\left(\mathrm{A}\right)\mathrm{h}=\frac{3\mathrm{l}}{5}\left(\mathrm{B}\right)\mathrm{h}=\frac{2\mathrm{l}}{5}\phantom{\rule{0ex}{0ex}}\phantom{\rule{0ex}{0ex}}\phantom{\rule{0ex}{0ex}}\phantom{\rule{0ex}{0ex}}\left(\mathrm{C}\right)\mathrm{h}=\frac{\mathrm{l}}{5}\left(\mathrm{D}\right)\mathrm{h}=\frac{4\mathrm{l}}{5}$

If x root (1+y) + y root (1+x) = 0

Prove that dy/dx = -1/(1+x)

^{2}experts do help!!

discuss the continuity of function f(x)= |x|+|x-1| in interval [-1,2]

find the derivative of

lim (x+y) sec (x+y) -x sec x / y

y--0

Find the derivative of root tanx from first principles.

how can we derivate cosecx by first principle

evaluate:

lim x-0 [1-cosx (cos2x)^1/2] / x^2

Evaluate:-

lim (x

^{4}-3x^{3}+2)/(x^{3}-5x^{2}+3x+1)x --1

lim x tends to zero 1-cos4x / x

^{2}?Find derivative of sin2x,cos2x and tan2x using first principle

limit x tends to y tanx-tany/x-y

limit x tends to y tanx-tany/x-y

find the dervative of

_{o}in a circular path of radius r. At time t_{o}, the car skids, find the value of coefficient of friction.lim. x->0

1- cosx.cos2x.cos3x /sin

^{2}2xderivative of square root of cos x by first principle

dy/dx+x^n+n!=y

Find dy/dx. If (x

^{2}+ y^{2})^{2}= xyderivative of sin^n x

lim cos2x - 1/cosx - 1

find the derivative of cosx by first principle of derivative

rs aggrawal solutions

what is lim

_{x-0}x(e^{x}-1)/1-cosxy= x tanx / sec x +tanx

evaluate lim h tends to 0 [ (a+h)^2 sin (a+h) - a^2sin a] / h

find the value of k if lim x tends to 1 x^4-1/x-1 = lim x tends to k x^3-k^3/x^2-k^2

find derivative of sinX+cosX from first principle

^{5}-32/x^{3}-8)Find

lim tan x-sinx / sin

^{3}xx--0

$\underset{x\to 1}{\mathrm{lim}}{\left\{\frac{-ax+\mathrm{sin}\left(x-1\right)+a}{x+\mathrm{sin}\left(x-1\right)-1}\right\}}^{\frac{1-x}{1-\sqrt{x}}}=\frac{1}{4}$ is

evaluate sin x - sin a / x-a?

lim x-->0 (cos 3x-cos 5x)/x

^{2}f(x)={1-coskx /xsinx ,x is not =0 and 1/2,x=0}

find k if limx-0f(x) = f(0)

evaluate limit x tends to pi/2 tan 2x / x-pi/2?

evaluate sin x - sin a / x-a?

find dy/dx if y = 1/(ax + b)

evaluate lim x-pi/4 (cox-sinx)/(x-pi/4)

^{2}-10)^{n}-1/xDifferentiate the following by using first principle -

i). tan (2x + 1)

ii).

√tan xiii). x

^{2 }sin xQ.28. An airship is flying horizontally at a height of 1000 ft. with a speed relative to the land of 10 m.p.h. Find an expression for the rate at which it is receding from a fixed point on the ground over which it passed t hours ago and find the rate when t = $\frac{1}{6}$ hours.

lim (x

^{7}-2x^{5}+1)/(x^{3}-3x^{2}+2)x-1Please give me the answer......

Differentiate w.r.t x by using first principle

i)xcosx

Book Mathematics Class XI R.D.Sharma

Exercise 29.9, Qno- 29

Please send the solution

find log (2.47*10

^{-29})please explain with steps and also help me with log .prop

tell me all the formulae of limits and derivatives of class 11th as well as 12th !!examine the continuity

f(x) =logx-log7/x-7 for x not equal to 7

=7 for x= 7 at x=7

Q=If a^{2}+ b^{2}=23ab,then prove that log(a+b/5) = 1/2 (loga + logb)if y = x/ x+5 , prove that

x dy/dx = y(1-y)

find dy/dx if y = log sinx.

differentiate with respect to x

y = (x sin x) / (1+ cos x)

lim sin(2+x)-sin(2-x)/x

x-0

differentiate x2 cosx from first principle..

experts please answer---

evaluate lim

_{x}_{ tends to 0 }tanx - sinx / x^{3}lt.x--->0

3sinx -sin3x /x

^{3}lim 1-cosax / 1-cosbx

x-0

limit cosx -root 3 sin x

x--pi/6 pi - 6x

hope u understand. due to lack of mathematical signs i am unable to write all signs.