Evaluate sec x dx /In(sec x + tan x)

Q: determine the general derivatives f(x)= -3 f(x)= sin x + cos x -sec2x

A: Simple use the identity of derivative of constant is zero and derivative of sinx is cosx and…

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Q: If x = ln ( sec x + tan x) , show that sec x = cosh x

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

A: Use the method for substitution.

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A: As per our guidelines we are supposed to answer only one question.Kindly repost other question as…

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Q: Differentiate: (etan(x)) /(1+x)  Show all working out.

A: Given  etanx1+x. We have to differentiate it. Used formula:- ddxfxgx=gx⋅ddxfx−fx⋅ddxgxgx2 Here,…

Q: compute the derivative. f (x) = 9 sec x + 12 cot x

A: We have to compute he derivative of the function: fx=9 sec x+12 cot x We know the formula of…

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A: We will find the derivative.

Q: dy sec x.tan x sec x.tan x =-CSC X x %3D dx 1- sec' x - tan? -

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Q: Find the function who’s derivative is dy/dx = tan(x)sec(x) - 9x^2

A: Given: dydx=tanxsecx-9x2   As we know that; The Power Rule: ∫xndx=xn+1n+1+C And the common integral.…

Q: (tan x) = fu. v dx = (sin x) = | -=-=dx = (cos x) = fe" dx = | (arcsinx) = sec x tan x dx = secx tan…

A: We have to find out derivative and integral

Q: Verify that the derivative of sec x is sec x tan x. (Hint: Use thefact that sec x = 1/cos x.)

A: To Determine: Verify that the derivative of sec x is sec x tan x.  Given: use secx=1cosx…

Q: compute the derivative.  f (x) = (cos2 x)cos x

A: To compute the derivative.  f (x) = (cos2 x)cos x

Q: Find tanget line to f(X) =tan(X) + 9 cos( X) at X=π

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Q: Apply the first derivative test to indentify all relative extrema. f(x) = cos² (2x)

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Q: 84. Use the quotient rule and the derivative of the cosine d. (sec x) = sec x tan x. dx function to…

A: Dear student as per our rule in one session we can only solve one question. Please post the other…

Q: Evaluate / 5 sec2 *dx tan(x) 05 In(|tan(x)|) + C Oln(tanx) + C 05 In(x) + C 05 tan(x) + C

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Q: State the Mean Value Theorem. Use it to show that for all x ≥ 0, 0 ≤ tan^−1 x ≤ x. [Hint: Use Dx…

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Q: integrate (sin(x)*tan(x)-cos(x))/tan (x+1)

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Q: tan hx tanh x sec hx-1 sec hx +1

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Q: lim * In(sec(2x)) x→0 (sin(3x))³

A: To find the limit.

Q: f(x) = sec x As x = π-/2, f(x) =  As x = π+/2, f(x) =

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Q: If f(x)=tan x, then show that f(x+y)-f(x) = sec^2x tany/ 1-tanxtany

A: The detailed solution is given below Thank you

Q: 2/ Pind the Pirst derivative X. tan X. (3-2x ). 5x

A: Given equation is: y=x5.tan-1x3-2x.x3 To find the first derivative.

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A: NOTE: Refresh your page if you can't see any equations. .

Q: of y= sec(x*) . 4. Find 2xsec(x?)tan(x²) sec(2x) tan(2x) O sec(x³)tan(x²) 2sec(x)

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Q: (tan x\secx) _ 1 1 - sin' x sin x L.S.

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Q: Find the derivative of f(x) = sec(tan(x) + cot(x))

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Q: dy sec x.tan х dx 1- sec' x

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Q: T+tan x 4. lim sin X→0 tan x-2 sec x,

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Q: Differentiate. 6 - sec x y = tan x -sec(x) tan(x) - tan(x) – 6 – sec(x) - sec2 (x) y' = tan ?(x)

A: We know,d(u(x)v(x))dx = v(x) . du(x)dx- u(x) . dv(x)dxv2(x)

Q: Find the first derivative of sin x y = In 1+2 In x x cot x-2(In x) cot x-2 x(1+2 In x) x cotx+2(In…

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: 4 cot x)sec& ) .

A: cotx = cosxsinx. secx = 1cosx csc x =1sinx

Q: Find f'(x), if f(x)= tan² 4.x. Find f'(x), if f(x) = sin² 2x./cos 2x . Find f"(x), if f (x)= Inx+…

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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: (1+ tan(z)) sec² (x) dx

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Q: If f(x) = sinx + cosx sinx - cosx 2 show that f'(x) = sin 2x – 1

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Q: tan x 3 sec x If f(x) ƒ'(x) = To two decimal places, ƒ' (1) = =

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Q: The first derivative of the function tan2x sec2x C) sec2x cos2x O A) 2sin(2x) O B) (1-cos4x) O

A: It is known that ddxsinbx=bcosbx, where b is a constant.

Q: find the most general ntiderivative f(x) = 4 sec2(x) + 3 sec x tan x

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Q: Find f"(x), where f(x) = tan-(sin x2019)

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Q: f(x) = /tan-1 (cos x) + In(sec x)

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Q: f(x) = In(sin² x)

A: Given,           fx=lnsin2x

Q: tan*(5x) limx→0 x sin³(2x)

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