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Syllabus

derivative using first principle -

sin_/x

(sin under root x)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

Differentiate sinx/x from the first principle.

evaluate:

lim x-0 [(3^2x)-(2^3x)] / x

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

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

^{2}experts do help!!

^{^}-x- 2)/x^2derivative of 1)logx by first principle

find the derivative of

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

x-0

Find the derivative of root tanx from first principles.

evaluate:

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

how can we derivate cosecx by first principle

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

y--0

lim x tends to zero 1-cos4x / x

^{2}?Find

find the dervative of

Find derivative of sin2x,cos2x and tan2x using first principle

differentiate x2 cosx from first principle..

derivative of sin^n x

^{2}/3x-1 with respect to x.derivative of square root of cos x by first principle

lim. x->0

1- cosx.cos2x.cos3x /sin

^{2}2xEvaluate:-

lim (x

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

Find dy/dx. If (x

^{2}+ y^{2})^{2}= xywhat is lim

_{x-0}x(e^{x}-1)/1-cosxevaluate lim h tends to 0 [ (a+h)^2 sin (a+h) - a^2sin a] / h

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

y= x tanx / sec x +tanx

Evaluate lim x-> infinity(3x-4/3x+2)^x+1/3

lim cos2x - 1/cosx - 1

find the derivative of cosx by first principle of derivative

find derivative of sinX+cosX from first principle

rs aggrawal solutions

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

evaluate sin x - sin a / x-a?

differentiate with respect to x

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

lim tan x-sinx / sin

^{3}xx--0

lim x tends to 0

whole root(1+2x) - whole root(1-2x)/sinx

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

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

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

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

Find the value of k if lim(x tends to 0) kx cosecx = lim(x tends to 0) x cosec(kx)

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

evaluate sin x - sin a / x-a?

lim

_{x }_{à }_{π/6 }= 2sin^{2}x + sinx – 1/ 2sin^{2}x – 3sinx + 1Differentiate w.r.t x by using first principle

i)xcosx

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 xFind the derivative of sinxcosx using first principles

find log (2.47*10

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

^{2}-10)Lt (xsina- asinx)/(x-a)x--a

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

Book Mathematics Class XI R.D.Sharma

Exercise 29.9, Qno- 29

Please send the solution

Evalute the limit: lim x ---0 sqrt 1+3x - sqrt 1-3x/x

examine the continuity

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

=7 for x= 7 at x=7

Evaluate: lim x-->5 {(x-3)

^{5}- 32}/{x-5}tell me all the formulae of limits and derivatives of class 11th as well as 12th !!^{3}x/ tan^{2}xfind dy/dx if y = log sinx.

Q. lim x tends to pi/2

1+cos2x / (pi-2x)

^{2}limit x tends to y tanx-tany/x-y

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

Differentiate using first principle : e

^{[under root(tan x)]}if y = root (x/a) + root (a/x)

prove that 2xy dy/dx = x/a - a/x

cos3x + 3 cos x / ( pi /2 - x )^3