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Syllabus

derivative using first principle -

sin_/x

(sin under root x)Differentiate sinx/x from the 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$\left(\mathrm{A}\right)\mathrm{h}=\frac{3\mathrm{l}}{5}\left(\mathrm{B}\right)\mathrm{h}=\frac{2\mathrm{l}}{5}\phantom{\rule{0ex}{0ex}}\phantom{\rule{0ex}{0ex}}\phantom{\rule{0ex}{0ex}}\phantom{\rule{0ex}{0ex}}\left(\mathrm{C}\right)\mathrm{h}=\frac{\mathrm{l}}{5}\left(\mathrm{D}\right)\mathrm{h}=\frac{4\mathrm{l}}{5}$

derivative of 1)logx by first principle

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

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

^{2}experts do help!!

find the derivative of

evaluate:

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

Find the derivative of root tanx from first principles.

find log (2.47*10

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

how can we derivate cosecx by first principle

rs aggrawal solutions

lim x tends to zero 1-cos4x / x

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

Find

Find derivative of sin2x,cos2x and tan2x using first principle

find the dervative of

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

lim. x->0

1- cosx.cos2x.cos3x /sin

^{2}2xderivative of sin^n x

derivative of square root of cos x by first principle

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

x-0

Find dy/dx. If (x

^{2}+ y^{2})^{2}= xylim cos2x - 1/cosx - 1

examine the continuity

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

=7 for x= 7 at x=7

what is lim

_{x-0}x(e^{x}-1)/1-cosxDifferentiate w.r.t x by using first principle

i)xcosx

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

find the derivative of cosx by first principle of derivative

y= x tanx / sec x +tanx

find derivative of sinX+cosX from first principle

evaluate

lim

_{x-0}(a-x)^{2 }sin(a+x) -a^{2}sina / xdy/dx+x^n+n!=y

evaluate sin x - sin a / x-a?

Evaluate:-

lim (x

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

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

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

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

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

evaluate sin x - sin a / x-a?

^{x }cosxfind dy/dx if y = 1/(ax + b)

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 value of n,if n (belongs to) N and i) Lim

_{x-->2}x^{n}-2^{n }/ x-2 =80& ii)Lim

_{x-->3}x^{n}-3^{n}/ x-3=108lim tan x-sinx / sin

^{3}xx--0

Differentiate the following by using first principle -

i). tan (2x + 1)

ii).

√tan xiii). x

^{2 }sin x^{n}-1/xIf lim x- 2 x^n - 2^n/x - 2 = 80 , find 'n' belonging to natural numbers.

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

^{2}^{2}-10)lim (x+y) sec (x+y) -x sec x / y

y--0

Book Mathematics Class XI R.D.Sharma

Exercise 29.9, Qno- 29

Please send the solution

lt x--> 0

1-cos(1-cosx) / x

^{4}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)

tell me all the formulae of limits and derivatives of class 11th as well as 12th !!find dy/dx if y = log sinx.

differentiate x2 cosx from first principle..

lim

_{x }_{à }_{π/6 }= 2sin^{2}x + sinx – 1/ 2sin^{2}x – 3sinx + 1Evaluate 1. lim x tends to zero root(2)--root(1+cosx) /sin square x

2. lim x tends to pai/2 (cos 3x+3cosx) / ( pai/2-x)whole cube

3.lim x tends to 2 (x/x-2 --- 4/xsqare - 2x)

experts please answer---

evaluate lim

_{x}_{ tends to 0 }tanx - sinx / x^{3}lim 1-cosax / 1-cosbx

x-0

Q. lim x tends to pi/2

1+cos2x / (pi-2x)

^{2}