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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 root tanx from first principles.

evaluate:

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

how can we derivate cosecx by first principle

Find the derivative of sinxcosx using first principles

lim x tends to zero 1-cos4x / x

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

Find

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

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

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

derivative of sin^n x

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

(ii) parallel to y- axis.

derivative of square root of cos x by first principle

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

lim. x->0

1- cosx.cos2x.cos3x /sin

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

^{2}+ y^{2})^{2}= xycos3x + 3 cos x / ( pi /2 - x )^3

what is lim

_{x-0}x(e^{x}-1)/1-cosxlimitx--->0 [cosx - cos5x] / [cos2x - cos6x]

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

y= x tanx / sec x +tanx

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

lim cos2x - 1/cosx - 1

lim x tends to 4

x-4 / 3- root 13 - x

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

find derivative of sinX+cosX from first principle

√log{sin(x

^{2}/3 - 1)rs aggrawal solutions

evaluate sin x - sin a / x-a?

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

show that dy/dx = y/x

lim tan x-sinx / sin

^{3}xx--0

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

Differentiate cot(2x + 1) from the first principle.

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

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

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

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

^{5}- 32}/{x-5}For the function F,given by f(x)=x

^{2}-6x+8,prove that f '(5)-3f '(2)=f '(8)evaluate limit x tends to pi/2 tan 2x / x-pi/2?

evaluate sin x - sin a / x-a?

Find the derivatives of

(x

^{2 }- 3x +2)(x + 2)find dy/dx if y = 1/(ax + b)

Differentiate w.r.t x by using first principle

i)xcosx

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

^{2}derivative of cos(pi/4)

^{p+1}-px-x+p/(x-1)^{2 }if x tends to 1,p belongs to NDifferentiate 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

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)

evaluate:

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

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

^{2x }Sin3x Cos4x[ Hint given in the solution is 2sin3xcos4x = sin7x - sinx by std trignometry formulae

As i understand Sin2A = 2SinACosA . Therefore 2sin3xcos3x = sin6x

So as given in hint 2sin3xcos4x should it be corrected to2sin3xcos3x (cos3x in place of cos4x)

Correct me if i am wrong.]

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.

Q. lim x tends to pi/2

1+cos2x / (pi-2x)

^{2}Lim_{x-0}sin(pi cos^{2}x / x^{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)]}