Evaluate 1 m+3 1 m+ 1 I M+2 T }}}+1 tan" (x) sec¹x dx I -tan (m + 3) (x) + m+1 1 -tan (m + 1)(x) + m-1 www I -tan (+2)(x) + ₁(+¹)(x) - -tan (+1)(x) + C -tan (m-1)(x) + C -tan (-1)(x) + C -tan" (x) + C 1 M-1

Q: Find f'(x) for f(x) = A f'(x) - B f'(x) = © f(x)= 2x+cos²x tanx 2-2sinxcosx tanx 2x+cos²x sin²x…

A: Given: The function fx=2x+cos2xtanx Find the derivative of the given function Formula used: The…

Q: Find g'(x) if g (x) = 5√x tan x. 5(2 cot x+tan x) 2√x 5 tan x(2x sec x+1) 2√x 5(x sec² x+2 tan x)…

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Q: cos' x+cos'x dx is sin x+sin'x Q 9. The value of the integral

A: Introduction :

Q: help find crtical points of A'(x)= 2(1-2xtanh(x))sech^2(x)

A: Use the graphical approach to find the critical points for A’(x). At the critical points, the…

Q: S(csc x cot x + 7x°)dx sec x + x'+c csc x + x' +c - sec x + x' +c - sin x + x' + c csc x + x' +c

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Q: f'(0) = sec0{ sec2 0 + tan2 0)

A: Assuming this expression is to simplify: Given: f'(0) =sec(0)( sec2 0 + tan2 0)

Q: r tanº(x) cos“(x) tan'(x) [7ran?(x) + 9] +C (A 36 B sin'(x)sec®(x) [7sin²x) + 9cos²(x)] + C O 63 D

A: Given: I=∫tan6xcos4xdx We know that  1cosx=secx…

Q: Find the center and radius of a circle x+y2+2x+10y-4-0

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Q: sec(x) tan(x)/1+ sec(x) dz

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Q: How can I rewrite: sin(cos^-1(x)*cos(tan^-1(y)-cos(cos^-1(x))*sin(tan^-1(y))  as an algebraic…

A: Given expression

Q: The derivative of the function f (x) 3x tan x is Select one: O f'(x) = 3 tan x + 3x sec² x O f'(x) =…

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Q: S cos ( x^3 ) dx = * sin ( x^3) + c 3x^2 sin (x^3 ) + c - sin (x^3 ) + c - 3x^2 sin ( x^3) + c none…

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Q: dy_x² +2x(1+x*) tan" x (1+x*) dx O Op tion 1

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Q: Show that_(csc(x)) = −csc(x) cot(x). dx d (csc(x)) = dx || = dx sin²(x) 1 sin(x) 1 = = -csc(x)…

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Q: y = In(x-2) ex+1

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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: Differentiate. f'(0) f(0) sin(8) 1 + cos(0) 1 + cos (0) cos(0) - sin(0)(-sin()) (1 + cos(8))²

A: .

Q: S sec° (x) dx Select one: sec“(x) cot(x) O see't) col62) + ¿( sec(x) tan(x) + ¿In|tan(x) + sec(x)|)…

A: We will use bi parts to solve these type of integral.

Q: Solve the equation (2xy - tan y)dx + (x^2 - x (sec y)^2))dy = 0

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Q: Differentiate y= sin'x- cos³x CO A. 3sin x cos x (sinx - cos x) COS B 3sio x cos x (sinx + cos x) C.…

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Q: Evaluate / tan*(x) sec*(x) dæ.

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

Q: (5) f(x) = cos (5 - 2x) (7) f(x): = cos (√x³ + 1) (9) f(x) = cot (x5) (6) f(x) = cos (4x7 + 3) (8)…

A: Note: As per company guidelines we solve only first three subparts when multiple parts question…

Q: Find f. F"(8) = sin(8) + cos(8), f(0) = 5, = 5, f'(0) f'(0) = 3

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Q: Compute the derivative d tan x dx \cos x COS X 4 sec2 x – sinx tan x 1– 4 cos x + tan? x - | (cos x…

A: We have to compute the derivative of the given function: ddxtan xcos x-4 We know the formula of…

Q: Compute / tan x · sec a dæ.

A: detailed solution is given below