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Syllabus

derivative using first principle -

sin_/x

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

differentiate x2 cosx from first principle..

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

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

^{2}experts do help!!

derivative of 1)logx by first principle

find the derivative of

Find the derivative of sinxcosx using first principles

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 tends to zero 1-cos4x / x

^{2}?Find

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

find the dervative of

find log (2.47*10

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

Find derivative of sin2x,cos2x and tan2x using first principle

For the function F,given by f(x)=x

^{2}-6x+8,prove that f '(5)-3f '(2)=f '(8)derivative of sin^n x

^{p+1}-px-x+p/(x-1)^{2 }if x tends to 1,p belongs to Nderivative of square root of cos x by first principle

lim x tends to 4

x-4 / 3- root 13 - x

lim. x->0

1- cosx.cos2x.cos3x /sin

^{2}2xFind dy/dx. If (x

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

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

y= x tanx / sec x +tanx

lim cos2x - 1/cosx - 1

if y = root (x/a) + root (a/x)

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

find the derivative of cosx by first principle of derivative

Find the derivatives of

(x

^{2 }- 3x +2)(x + 2)evaluate lim h tends to 0 [ (a+h)^2 sin (a+h) - a^2sin a] / h

Find the derivative of f(x) = x2 + 2x using first principle of derivative.

find derivative of sinX+cosX from first principle

rs aggrawal solutions

^{2}+6xy+x^{2}-16=0 at which the tangents are,(i) parallel to x- axis.

(ii) parallel to y- axis.

evaluate sin x - sin a / x-a?

sin 2x + 3x / 4x - sin 5x

lim tan x-sinx / sin

^{3}xx--0

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)

if sec(x+y/x-y)=a^2

show that dy/dx = y/x

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

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)

(a-bSinx) (1-2Cosx)

Differentiate w.r.t x by using first principle

i)xcosx

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

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

Differentiate the following by using first principle -

i). tan (2x + 1)

ii).

√tan xiii). x

^{2 }sin x(a)1/root x , x not equal to 0

evaluate:

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

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

y--0

limitx--->0 [cosx - cos5x] / [cos2x - cos6x]

derivative of cos(pi/4)

find derivative of :-

e

^{root cot x }by first principle ?

Q=If a^{2}+ b^{2}=23ab,then prove that log(a+b/5) = 1/2 (loga + logb)Book Mathematics Class XI R.D.Sharma

Exercise 29.9, Qno- 29

Please send the solution

Help me solve this limits question :

lim x→a (x^12 - a^12)/(x-a)

examine the continuity

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

=7 for x= 7 at x=7

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

differentiate with respect to x

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

Q. lim x tends to pi/2

1+cos2x / (pi-2x)

^{2}^{3}x-3tan^{2}x+12tanx +3, $\in (0,\frac{\pi}{2})$ is,(A) increasing (B) decreasing

(C) increasing in (0, $\pi /4)anddecrea\mathrm{sin}gin(\pi /4,\pi /2)$

(D) none of these

Show that lim

_{x---->2}log_{10}{ x^{6}+ √(x^{ 2}+ 1292)} = 2Differentiate using first principle : e

^{[under root(tan x)]}