hint: tant tan(6/2") tan(2t) tan t 2" A equals tan(6) B converges

Q: secx tan.x 5) 1+ sec x

A: Use the method for substitution.

Q: f and f” are provided below. Use f” to find the open intervals where f is concave up and concave…

A: To find the intervals of concave up and concave down

Q: tan"x jun's de - | tan"-x dx (n 1) n- 1 tan x sec" r sec x dx (n 1) n- 1

A:

Q: : Prove thati Od tanx= sec>x 2. 3d secx= sec x tan x 2: find first derivative following Bi funCtion…

A: Prove that1. d(tan x)dx=sec2x2. d(cot x)dx=-csc2x3. d(sec x)dx=secx·tanx4. d(csc x)dx=-cotx·cscxSome…

Q: Finel the first, second-order derivative (f'(x!) and! find the slope at the given point X * fx) =…

A: Given : f(x)=sin(2x)-tan(2x) Take first derivative, apply chain rule f'(x)=cos2x· 2-sec22x·…

Q: (4) Find the derivative of f(x)= tanx+5

A:

Q: * /Q18 When x = acsc 0, ÷tan 0 = a

A:

Q: If f(x) = 3 tan 1 x, then find the value of f'(5) is . %3D -5 26 3 26 3 26 26

A:

Q: Prove that this is correct to find the derivative. In detail please. Neep it asap because of the…

A: Step 1:Step 2:

Q: Which interval is f increasing when f' (x) = x- x? (a). (-o, 0) (b). (-1,0) (c). (–1,1) (d). (0, 0)…

A:

Q: 6. By using u = tan 0, evaluate | tan 0 sec*e de .

A:

Q: Determine the value that f(x) = 2 x tan -))" approaches as x grows larger and larger by constructing…

A:

Q: let f(x) = { x3 tan-1(1/x) if x cannot = 0                 { 0 if x=0  determine whether f'(0)…

A: We can solve the given problem using differentiation of given function.

Q: csc[In(tan e4*)] CsC y = coth[In(1-x)1/3]

A:

Q: 1-S 1-sinx dx 1-sin?x -sin²x

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: Use three-point midpoint formula to evaluate the first derivative of y=tan(x) at x = O-2√/2 00…

A: Given function is y=tanx. We have to evaluate the first derivative of y=tanx at x=π4 using a value…

Q: a.) f(x) = sec(e") b.) g(x) = tan¯'(x)+3* +x!5 %3D _1.5

A:

Q: Is it true that tan (tan-x) = x for all x? Is it true that tan-(tan x) = x for all x?

A: Given statements are tantan-1x = x  for all x. tan-1tan x = x  for all x. We have to check if these…

Q: x' sin (tanx*) -1 Integrate 1+x

A: Introduction :

Q: 2. S 2 tan x secx - tan x d.r

A:

Q: Using suitable method, show that 2 tan" (x+2) dx =- – In 2 .

A: We use integration by parts to find integral tan inverse x.

Q: The value of i log (x -i) + i? n + i³ log (x + i) + i* (2 tan-'x) where x > 0 and i = Fis

A: Introduction :

Q: tan 0+ tan* 0 = sec* 0 - sec? 0 %3D

A:

Q: 4 cosecx - сotx (a) If f (x)= then find f' 4 1+ secx

A:

Q: Consider the function on the interval (0, 2pi). (A) find the open intervals on which the function is…

A:

Q: What are the intervals of monotonicity of f(x) = arctan (2(x-1)) - ln IxI ?

A:

Q: 5) f(x) = tan [In{sin(15x - 30)}] %3D

A: For this problem we have to apply derivation to each term.

Q: Determine csc(x) + cot (x) if tan x + sec(x) = 22/7. 27/12; 29/15; 24/18; 23/11

A: We can answer the question by finding the correct option as below.

Q: Sketch the graph of the equation: 1+tanhx F(x}=;In 1-tanhx

A: Given: F(x)=12ln1+tanhx1-tanhx To sketch: the graph of the given equation.

Q: Evaluate / tan*(x) sec*(x) dæ.

A: I=∫tan3(x)sec2(x)dxsubstitute  tanx=udiffrentiatesex2xdx=du

Q: 6(2tanx - x^4 + 4lnx)^1/4(2sec^2x - 4x^3 +4/x)dx. Hint: let u = 2 tanx - x^4 + 4lnx

A:

Q: Qr/ lim tanx)

A: Given limit

Q: QA: (inspired by a problem from Stewart's textbook) Suppose that there is some function f whose…

A: Note:-As per our guidelines, we can answer the first three sub-part of this problem as exactly three…

Q: f'(t) = tf(t). HINT: Write f'(t) – tf(t) = 0 and multiply the equation by e-2/12.

A: