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Syllabus

derivative using first principle -

sin_/x

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

derivative of sin^n x

derivative of 1)logx by first principle

evaluate:

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

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

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

y--0

Find the derivative of root tanx from first principles.

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

x-0

how can we derivate cosecx 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$\left(\mathrm{A}\right)\mathrm{h}=\frac{3\mathrm{l}}{5}\left(\mathrm{B}\right)\mathrm{h}=\frac{2\mathrm{l}}{5}\phantom{\rule{0ex}{0ex}}\phantom{\rule{0ex}{0ex}}\phantom{\rule{0ex}{0ex}}\phantom{\rule{0ex}{0ex}}\left(\mathrm{C}\right)\mathrm{h}=\frac{\mathrm{l}}{5}\left(\mathrm{D}\right)\mathrm{h}=\frac{4\mathrm{l}}{5}$

lim x tends to zero 1-cos4x / x

^{2}?Find

Find derivative of sin2x,cos2x and tan2x using first principle

find the dervative of

^{2}-10)y= x tanx / sec x +tanx

lim. x->0

1- cosx.cos2x.cos3x /sin

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

Differentiate w.r.t x by using first principle

i)xcosx

Find dy/dx. If (x

^{2}+ y^{2})^{2}= xyevaluate lim x-pi/4 (cox-sinx)/(x-pi/4)

lim cos2x - 1/cosx - 1

if lim x-3 (x^n - 3^n) / (x-3) = 108 find n

what is lim

_{x-0}x(e^{x}-1)/1-cosxdiscuss the continuity of function f(x)= |x|+|x-1| in interval [-1,2]

find the derivative of cosx by first principle of derivative

^{3}-3x_{}^{2}+4/x^{4}- 8x^{2}+ 16FACTORISE THIS

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

find derivative of sinX+cosX from first principle

Evaluate 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)

rs aggrawal solutions

^{n}-1/xevaluate sin x - sin a / x-a?

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?

lim tan x-sinx / sin

^{3}xx--0

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

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

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

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

^{2}Differentiate the following by using first principle -

i). tan (2x + 1)

ii).

√tan xiii). x

^{2 }sin xEvaluate:-

lim (x

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

differentiate with respect to x

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

Book Mathematics Class XI R.D.Sharma

Exercise 29.9, Qno- 29

Please send the solution

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

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

lim (x

^{3}+3x^{2}-9x-2)/(x^{3}-x-6)x --2

tell me all the formulae of limits and derivatives of class 11th as well as 12th !!x>0 e sinx -1/x

find dy/dx if y = log sinx.

find log (2.47*10

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

differentiate x2 cosx from first principle..

lim

_{}x tends to 0 (tan3x) - x/5x-sinxPlease explain the procedure. Thank you.

examine the continuity

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

=7 for x= 7 at x=7

experts please answer---

evaluate lim

_{x}_{ tends to 0 }tanx - sinx / x^{3}_{x->2 }x^{10}-1024/x^{5}-32Q. lim x tends to pi/2

1+cos2x / (pi-2x)

^{2}lim 1-cosax / 1-cosbx

x-0