Q. Use first principle rule and proue that secx tanl y = secx

Q: AX sex secX tan X

A:

Q: Evaluate VSinx dox Vsínx+VCosx

A:

Q: sec® x dx cot x SE V

A: We can evaluate the given integral by using the substitution u= tan x and the following formulas.…

Q: xtanx-SeCx

A:

Q: Calculate y" and y'. y = 0²(20 + 4) y" = y" : II

A: Given function is : y = Ѳ2( 2Ѳ + 4)

Q: tanx secx+1 %3D tanx secx-1

A:

Q: y=(2√√x-3)(6-5x²)

A: y=2x-36-5x4

Q: Differentiate the function y= 1-ex #48 y= e + Sincee) Cin2x

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: Explain why the Quotient Rule is used to determine the derivative of tan x and cot x.

A: We have to  explain why the Quotient Rule is used to determine the derivativeof tan x and cot x.

Q: 9. Simplify 2 + tan² sec² x - 1.

A: Simplify

Q: Order One DE y'-(3tanx)y=1

A: The given differential equation is the linear of the form y' + P(x) y = Q(x) Where, P(x) = -3tanx…

Q: tanx X 1+x?

A: =?

Q: Where does y=sinx+cosx have zero slope

A: Topic:- Calculus

Q: Explain how the Intermediate Value Theorem (IVT) can be used

A: Intermediate value theorem is stated as follows. Consider an interval I=a,b of real numbers ℝ and a…

Q: what does (tanx+cotx)/secx=?

A:

Q: tanx * In(secx) dx

A:

Q: Evaluate sec x dx VIn(sec x + tan x)

A: We will let,  ln( sec x+tan x) = t  to solve this question.

Q: 12. f sec¹x tan³x dx

A: We need to find out the integration of the given integral.