derivative using first principle -

sin_/x (sin under root 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!!

lim_x-2 x6 -24x-16/x³+2x-12. How i can solve it by factorisation?

derivative of 1)logx by first principle

find the derivative of

• xsinx by first principle

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

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 / x² ?

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

Find

1. lim [x],x tends to 2
2. lim [x],x tends to 5/2
3. lim [x].x tends to 1

find the dervative of

• Xsinx from 1st principle

Find derivative of sin2x,cos2x and tan2x using first principle

derivative of sin^n x

derivative of square root of cos x by first principle

If lim x- 2 x^n - 2^n/x - 2 = 80 , find 'n' belonging to natural numbers.

lim. x->0

1- cosx.cos2x.cos3x /sin²2x

Find dy/dx. If (x² + y²)² = xy

what is lim_x-0x(e^x-1)/1-cosx

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

y= x tanx / sec x +tanx

lim cos2x - 1/cosx - 1

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 / sin³x

x--0

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

evaluate:

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

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

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

lim x-2 3^x +3^3-x -12 / 3^{3-x -}3^x/2

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

lt. x->a root a+2x - root3x / root3a+x - 2rootx

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

evaluate sin x - sin a / x-a?

Differentiate w.r.t x by using first principle

i)xcosx

Differentiate the following by using first principle -

i). tan (2x + 1)

ii). √ tan x

iii). x² sin x

lim x-->0 (cos 3x-cos 5x)/x²

 differentiate x2 cosx  from first principle..

USING 1^ST PRINCIPLE, FIND dy/dx OF:

a. e^{ROOT OVER tanx}

b. tan root over x

Evaluate:-

lim (x⁴-3x³+2)/(x³-5x²+3x+1)

x --1

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

y--0

Q=If a² + b²=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

• log₁₀(x-3)/log₁₀(x²-21)=1/2

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

find log (2.47*10^-29)

please explain with steps and also help me with log .prop

find  d/dx of tan x by first principle ?

find dy/dx if y = whole sq.root of sin 2x.

Differentiate using first principle : e ^{[under root(tan x)]}