Example: Find dy/dx for the following functions : a) y= coth(tanx) b) y= sin" (tanhx)

Q: Integrate cosx dx cos (x -a)

A:

Q: If y=sin(sinx) show that y'' +(tanx) y''+y cos2x=0

A: we have to derivate 2 times then we will get result

Q: sin x cos? x dx

A:

Q: Differentiate y=(1-cosx)/sinx

A:

Q: Differentiate. y = sec(e) tan(e) sin (8) y = cos(e)? 2

A:

Q: L, sin 8x cos 15x dx

A:

Q: What are the derivatives of tan x, cot x, sec x, and csc x?

A:

Q: Calculate the deriv L tan2tdt d_ dx II

A: Derivation of          is calculated as shown below

Q: find the value of cE CoB] for flx)= that satisfy value theorem. mean

A:

Q: Evaluate esin(x) cos(x)dx

A: Given: I=∫esinxcosxdx for evaluating given integral, in given integral we substitute esinx=t…

Q: Find integral.

A: To Determine: ∫ e-xtane-xdx

Q: Find y= tan' ( ) Sin Sa ® y= Sin" (x) ® y= log, [tanx]

A: We use the following methods to calculate differentiate d/dx of tan inverse x =1/1+x²  d/dx of sin…

Q: Differentiate the function: y = arccos(tan x)

A: Use the chain rule of derivative and simplify.

Q: Find [sinh-(cotx)] and simplify completely. d dx

A:

Q: Find y' if y = sinh cot x

A:

Q: cos x ln(sec x)dx In(sec a)da View Insert Format To

A:

Q: differntiate y= (lnx)^(cosx)^(sinx)

A:

Q: Differentiate y=(1-cosx)/sin2x

A:

Q: tanx . In(cosx) dx

A: we have to evaluate,   I=∫tanx . ln(cosx) dx

Q: Evaluate the inclepinite infegral Cos 3X +3 dx Sin 3x

A:

Q: b) Differentiate (Cosx)Stnx with respect to (Tanx)Secx

A: We have to differentiate cos xsin x with respect to tan xsec x

Q: Find if y = sin /- cos r and r= 1+ cos-x %3D dx

A:

Q: Differentiate sin y =a'

A: Consider  y=asin−1x2

Q: Differentiate the function: y = In[tan(ln x)]

A:

Q: dy Find when a = 0, if given y = tan-' (sinh æ). dx

A:

Q: Determine (tanx sec' x dx

A: We will evaluate the integral.     We know  sec2x - tan2 x = 1            implie, sec2x = 1+ tan2 x

Q: Differentiate sin y = a'

A: Solution

Q: Find dy/dx

A: y=∫tan x0dt1+t2

Q: Ni cos(2?)a. Cos | x dx

A:

Q: if Pen) = Sinh(nw) find F(Z)=?

A: There is an exponential representation of sinhx. Whenever we analyse various properties of sinhx, we…

Q: (3X dx =? Sinmply

A:

Q: (a) Show that tan x = dx sec?x using quotient rule.

A:

Q: Find tue denivative of tue function f(x) = arc sec( 8x)

A: here we will find the derivative of arcsec(8x),

Q: if y = cot-()- tan-1x dx

A:

Q: Differentiate  (sin 2t)/t.

A: ft=sin2tt

Q: Differentiate sin y = a

A:

Q: | sin-1 3x dx

A:

Q: What is ∫ tan x dx?

A: Integration

Q: | arctan x dx=?

A: We evaluate given integral

Q: 5. y = = cos' cot (csc

A:

Q: Find:  ∫sin(3x) cos(6x) dx.

A: cos(2u) =2cos2u -1

Q: cos'x sinx dx

A: To Evaluate the given integral :-  I = ∫ cos4 x sin x dx    By substitute method, Let t = cos x…

Q: Show that tan(arccosx) for |x| s 1, x + 0.

A:

Q: Differentiate.   y =  Sin -1(ex)

A:

Q: Eoaluate dx, Hence find the value of sin dx.

A:

Q: d. tion to prove that (cscx) dx = – CSC X COt x. 86. Use the quotient rule and the derivatives of…

A:

Q: fcox In(sinx) dx= fu du cotx In(sinx) dx = u du

A: In this question we substitute  u=lnsinx .

Q: Evaluate the indefinite intergral ∫sin(-10x) dx =

A: This question can be solved using integration by substitution.