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Syllabus

derivative using first principle -

sin_/x

(sin under root x)lim x tends to 4

x-4 / 3- root 13 - x

Differentiate sinx/x from the first principle.

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

^{p+1}-px-x+p/(x-1)^{2 }if x tends to 1,p belongs to NFind the derivative of root tanx from first principles.

evaluate:

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

^{2}-10)how can we derivate cosecx by first principle

lim x tends to 0

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

lim x tends to zero 1-cos4x / x

^{2}?sin 2x + 3x / 4x - sin 5x

Find

lim(x- -3) (x^2 - 9)/(root[x^2 + 16]-5)

find the dervative of

Find derivative of sin2x,cos2x and tan2x using first principle

lim

_{x }_{à }_{π/6 }= 2sin^{2}x + sinx – 1/ 2sin^{2}x – 3sinx + 1derivative of sin^n x

derivative of square root of cos x by first principle

lim. x->0

1- cosx.cos2x.cos3x /sin

^{2}2xEvaluate: lim x-->5 {(x-3)

^{5}- 32}/{x-5}Find dy/dx. If (x

^{2}+ y^{2})^{2}= xy^{}x^{2 }]^{1/2 then}Lim(x-->1) F(x)-F(1)+x-1what is lim

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

x-a

^{+}y= x tanx / sec x +tanx

lim cos2x - 1/cosx - 1

lim (x

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

find the derivative of cosx by first principle of derivative

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

find derivative of sinX+cosX from first principle

rs aggrawal solutions

evaluate sin x - sin a / x-a?

lim tan x-sinx / sin

^{3}xx--0

lim (e

^{x}- e^{3}) / (x-3)x->0

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

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

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

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

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

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

evaluate limit x tends to 0 sin

^{2}ax/ tan^{2}bxevaluate 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)

Find the derivative of sinxcosx using first principles

Differentiate w.r.t x by using first principle

i)xcosx

differentiate x2 cosx from first principle..

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

^{2}limit tends to x---3 [1/x-3] - [3/ x (x^2 - 5x + 6)]

here x-3 is fully in denominator and x (x^2 - 5x + 6) is also in denominator

(a)1/root x , x not equal to 0

Differentiate the following by using first principle -

i). tan (2x + 1)

ii).

√tan xiii). x

^{2 }sin xlim (x+y) sec (x+y) -x sec x / y

y--0

find the value of :

lim x tends to a

x raised to power 2/3 minus a raised to power 2/3

the whole divded by

x raised to power 3/4 minus a raised to power 3/4

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

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

Q=If a^{2}+ b^{2}=23ab,then prove that log(a+b/5) = 1/2 (loga + logb)11. $\underset{\text{x\u21923}}{\mathrm{lim}}\frac{{\text{x}}^{3}\text{-6x-9}}{{\text{x}}^{4}\text{-81}}$

Book Mathematics Class XI R.D.Sharma

Exercise 29.9, Qno- 29

Please send the solution

examine the continuity

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

=7 for x= 7 at x=7

differentiate with respect to x

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

tell me all the formulae of limits and derivatives of class 11th as well as 12th !!Solve lim x-1 ab

^{x}-a^{x}b/x^{2}-1find dy/dx if y = log sinx.

_{x-->0}(Sin 3x +7x)/(4x+sin2x)Q. lim x tends to pi/2

1+cos2x / (pi-2x)

^{2}_{x->5}(2x^{2}+9x- 5)/(x+5)Differentiate using first principle : e

^{[under root(tan x)]}Find the derivative of f(x) = x2 + 2x using first principle of derivative.