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Syllabus

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!!

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

derivative of 1)logx by first principle

find the derivative of

Find the derivative of root tanx from first principles.

^{4}xevaluate:

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

Evaluate the value

how can we derivate cosecx by first principle

lim x tends to zero 1-cos4x / x

^{2}?Find

find the dervative of

Find derivative of sin2x,cos2x and tan2x using first principle

derivative of sin^n x

√log{sin(x

^{2}/3 - 1)derivative of square root of cos x by first principle

(a)1/ax+b , x is not equal -b/a

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]

find log (2.47*10

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

y= x tanx / sec x +tanx

What is the value of infinity/infinity {infinity divided by infinity}

lim cos2x - 1/cosx - 1

5) From a group of 8 children, 3 girls and 5 boys, 3 children are selected at random. Calculate the probabilities that the selected group contain

(i) no girl

(ii) only one girl

(iii) only one particular girl (iv) at least 1 girl (v) more girls than boys

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

_{a}x=log_{e}x*log_{a}e?rs aggrawal solutions

Explain in brief the

Rationalisation MethodandSeries Expansion Methodplease. . .evaluate sin x - sin a / x-a?

lim tan x-sinx / sin

^{3}xx--0

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

find derivative of log(cosx) w.r.t. 'x' using 1st principle

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

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

Help me solve this limits question :

lim x→a (x^12 - a^12)/(x-a)

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

^{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

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)

Differentiate w.r.t x by using first principle

i)xcosx

Q. $\underset{\mathrm{n}\to \infty}{\mathrm{lim}}{\mathrm{n}}^{2}[\sqrt{\left(1-\mathrm{cos}\frac{1}{\mathrm{n}}\right)\sqrt{\left(1-\mathrm{cos}\frac{1}{\mathrm{n}}\right)\sqrt{\left(1-\mathrm{cos}\frac{1}{\mathrm{n}}\right)}}}....\infty ]$

The value of is

1) 1/2 2) 0

3) 1 4) 2

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

^{2}examine the continuity

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

=7 for x= 7 at x=7

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

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

y--0

differentiate x2 cosx from 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

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

^{[under root(tan x)]}_{a}x=log_{e}x*log_{a}e?