Evaluate tan" (x) secx dx. 1 A n(m + 1)(x). m+1 1 (В -tan (m + 2)(x) + m+2 1 -tan (m+1)(x). m+1 1 -tan (m+3)(x) + · m+3 (C) D tan + -tan (m-1)(x) + C m-1 -tan" (x) + C 1 − m-1 1 m+1 -tan (m-1)(x) + C -tan (m+1)(x) + C

Q: Differentiate the function below. = (x² + 5) (x² – 6) 10 Choose the correct setup below to…

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Q: arcsin(4x)/arctan(5x)...

A: Using L'Hospital's rule to evaluate this limit,we know that,if  is of the intermediate form or…

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: Let f'(x)= = f(x) = x² tan ¹(7x)

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Q: If f(x) = tan (3x), then f'(x) = (A) 12 tan (3x) sec?(3x) (B) 4 tan (3æ) sec2(3x) (C) 12 tan (3x)…

A: derivative

Q: [2x*dx (Ans. 3 2 x' +c ); (xi) J3x°dx - 3 In\x)| 3 |3x'dx (Ans. (Se* –x? +2)dx , (x + 0) (x) x' +c);…

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Q: 3. Solve the following equations over the interval [0, 2π]. Use exact values where possible, or…

A: a) tan2x=13 tan2x=13tan x=±13x=π6,7π6,5π6,11π6

Q: Q1/: a: Using the relation showthat J-va (x) = 2 cos x

A: We have to solve given problem:

Q: 3) Determine A and B that makes the function continuous as x approaches 0 and 1? y A x>1 x-B x<0

A: Given:           y=x2                  0≤x≤1A                   x&gt;1x-B             x&lt;0 Given…

Q: tan x If f(x) = 3 sec a f (2) = f (1) =

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Q: G. (CHAIN RULE) 1. f(x) = (3x² - 2x+4)² 2. y = sin 2x 4 (a² - y²)² 4. g(x)= (3x² + 4x - 5)5 3. 2 =

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Q: Evaluate: tan(x) dx

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Q: f'(1). et f(x) = 3x 6x-7 Find f'(x).

A: Given query is to find derivative.

Q: tan (csc-' (2x + 1)) 2x+1 a) V4x2+4x O b) 1 V4x2+4x c) V4x2 + 4x O d) 2x + 1

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Q: x+ cos X Find the derivative of tan x . O A) tan x+ tan xsin x+ xsec x+secx tan? x tan x(1+sin x) O…

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Q: sec (2x) dx (tan 2x-4)"

A: We have  ∫sec2(2x)tan2x-43dxLet  tan2x=u    diff. w.r.t x we get2sec2(2x)= dudx sec2(2x)dx=12du now…

Q: The line y=x-1 is the tangent line to the a) f(x)= -cosh²x at the point (o, f(o)) the tangent line…

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Q: e* tan (e*) dx sec2 (e*) – 7

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Q: Find, tan(x / 2)dx A) (1/2) sec (x/2)+c C) 2 sec (x/2)+c B) 2m sec(x/ 2)+c D) (1/2n sec(x/2) +c

A: Given that a integration of tan(x/2) and we solve it by using general formulas of integration. We…

Q: lim

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Q: 4 (a² - y²)² 4. g(x) = (3x² + 4x - 5)5 3. 2 =

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Q: Evaluate tan" (x) sec4x dx. 1 1 (A) =tan(+3)(x) + _____tan ( + 1)(x) + C m+3 m+1 1 B) (m+3 -tan…

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Q: The derivative of sec(e) is tanx O 1) tan(e*") sec{e*™) O 2) tan(e**) sec(e*)x e** 3) tan(e)…

A: topic - derivative of a function

Q: Evaluate: (교2 + 4)- (A) None of the above (22 + 4) tan- (E) + x +C 16 (a2 + 4) B f (x) = %3D © f (x)…

A: The objective of the question is evaluate the indefinite integral and choose the correct option.

Q: Evaluate / tan*(x) sec*(x) dæ.

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

Q: (4) Consider f(x) = x5 + xª + 1. (b) On what intervals is f(x) one to one? (c) Find a formula for…

A: (d) Consider a given function: fx=x5+x4+1 Let gx=f-1x. Find g'1.0488 when domain of f is restricted…

Q: Suppose f (x) =5"sec2(5*). Evaluate: tan (5*) + C In (5) (A) 5*. tan (5) B +C In (5) In (5) · tan…

A: Put 5x=t then integrate it.

Q: Find the derivate of the function: a) • f(x) = 5x + 4 f'(c) = 2 d) • f(x) = (5x²³²-4) (8X+S) b)•…

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Q: What is the period of the function y = 10 sin(( - )) + 25? Х 4π 3 3π 4 O 3 4 حرام

A: Given thatIf a wave function is given as then period will be