Example: Find dy/dx for the following functions : a) v= coth(tanx) h) v= sin'(tanhx)

Q: Where does the graph of the function y=3•cos¬lx-sin¬'x have a horizontal tangent line? Provide an…

A:

Q: Find the derivative of the trigonometric function. y = cos√sin(tan x)

A: Derivative of some trigonometric function: (cosx)' = -sinx (√x)' = 1/2√x (sinx)' = cosx (tanx)' =…

Q: y = sec² 0 – tan² 0 %3D -

A: Using Trigonometry identity ,

Q: Integrate cosx dx cos (x -a)

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Q: Cos x sin (sinx) dx

A:

Q: If y=sin(sinx) show that y'' +(tanx) y''+y cos2x=0

A: we have to derivate 2 times then we will get result

Q: Take the derivative of (cosx) / (cos(x) -sin(x)) (I apologize for the formating)

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Q: sin x cos? x dx

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Q: Differentiate y=(1-cosx)/sinx

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Q: What are the derivatives of tan x, cot x, sec x, and csc x?

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Q: y = sin³ x cos x sec 4x y = tan 4x

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Q: Calculate the deriv L tan2tdt d_ dx II

A: Derivation of          is calculated as shown below

Q: Differentiate the function: y = arccos(tan x)

A: Use the chain rule of derivative and simplify.

Q: Find [sinh-(cotx)] and simplify completely. d dx

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Q: Find dy/dx of inverse tan(1/x) multiplied by secant(x)

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Q: cos(2x) dx sinx+cosx

A: Given: ∫cos(2x)sinx+cosxdx

Q: cos x ln(sec x)dx In(sec a)da View Insert Format To

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Q: Where does sin x have a horizontal tangent line? Where does cos xhave a value of zero? Explain the…

A: Concept: The function f(x) at the point x=a, is a line that just touches the graph of the function…

Q: differntiate y= (lnx)^(cosx)^(sinx)

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Q: Differentiate the function y=ex(sinx−cosx).

A: y=exsinx-excosx.

Q: Differentiate y=(1-cosx)/sin2x

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Q: tanx . In(cosx) dx

A: we have to evaluate,   I=∫tanx . ln(cosx) dx

Q: Find y' if cosh x sinh?

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Q: Obtain the derivative formulas for csch x, sech x, and coth x from the derivative formulas for sinh…

A: Given functions are sinhx,coshx,tanhx.

Q: b) Differentiate (Cosx)Stnx with respect to (Tanx)Secx

A: We have to differentiate cos xsin x with respect to tan xsec x

Q: y = cos (arcsin væ) + sin ( arccos 2

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Q: Find sec (0). tan (0) = Show Your work here

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Q: Ssin | sin" x cos" x dx if find

A: Odd function :- When the function is of the form f(-x)=-f(x) i.e., when the value remain same but…

Q: Integrate cot(x) In(sin(x))dr.

A: The answer is found in step-2

Q: if Pen) = Sinh(nw) find F(Z)=?

A: There is an exponential representation of sinhx. Whenever we analyse various properties of sinhx, we…

Q: Show that cos( arctan( sin( arccot(x)))) = sqrt{{x^2+1}/{x^2+2}}

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Q: (a) Show that tan x = dx sec?x using quotient rule.

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Q: ) Evaluate cosx sinx V1 – sin4x dx.

A: Use substitution method to solve this

Q: Solve to Find if cscx – ) dt = 4 – y? tanx sinx+1. dx

A: Here we have,  a) y+∫xsecx1sint+1dt=xy b) cscx-∫tanxxy1sinx+1dt=4-y2

Q: | sin-1 3x dx

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Q: Question 2: Compute the derivative of y = arcsin(cos(arctan(r))).

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Q: sin Vr dx =?

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Q: Use differentials to approximate the value of sin 28 degrees . Note: For ∆x, express degrees in…

A: sin 28° = 0.46977

Q: Find the derivative of the trigonometric function. y(x)%3 cos cos v sin(cot TX)

A: We will use the chain rule for the inner functions.

Q: 5. y = = cos' cot (csc

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Q: differentiate g(x)=sinx cosx tanx

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Q: cos'x sinx dx

A: To Evaluate the given integral :-  I = ∫ cos4 x sin x dx    By substitute method, Let t = cos x…

Q: Show that tan(arccosx) for |x| s 1, x + 0.

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Q: 35. y = cot? (sin 0)

A: Solution:-

Q: Find the derivative of the trigonometric function. y(x) cos V sin(cot")

A: Calculation:

Q: fcox In(sinx) dx= fu du cotx In(sinx) dx = u du

A: In this question we substitute  u=lnsinx .

Q: please differentiate the function provided in the images

A: Given that

Fundamentals of Trigonometric Identities

Trigonometric Identities are the equalities that involve trigonometry functions and hold for all the values of variables given in the equation.