write the derivative of trigonometric řunctions 1) F(x) = sin 3x tan²x

Q: y = sec² 0 – tan² 0 %3D -

A: Using Trigonometry identity ,

Q: Find the derivative of the trigonometric function.

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Q: sinx is the second derivative of what funtion? coS X h. -cos x sin x d. -sin x

A: -sinx is second derivative of what function?

Q: 1 - cot(x) 5*tan(x) X,

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Q: Show that y=sec^2x and y=tan^2x have the same derivative. What can you say about y=sec^2x-cot^2x?

A: Given y=sec²x and y=tan²x Now derivative dy/dx=d/dx( sec²x) =d/dx(1+tan²x) dy/dx= 2tanx sec²x   Now…

Q: what is the derivative of sin(e^x)

A: To find what is the derivative of sin(ex)?

Q: find the derivative using the appropriate rule or combination of rules.

A: Consider the given function

Q: What is the 28th derivative of sinx? A -cosx B none of the given choices © sinx (D cosx E -sinx

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Q: Solve the derivative: sinx – 1 F(x) = COSX Answer: sec(x)tan(x)(sin(x) – 1) -

A: We will find the derivative.

Q: Find the derivative of y= sec(x) tan(x) Give clear steps and explanations.

A: The given function is y=secx tanx. The following product rule is used in evaluating the given…

Q: Find the derivative of g(x)=sec(1/2x) tan (1/2x), simplify and using trignometry elimate tangent…

A: To find: the derivative of the below function.

Q: Find the derivative of the trigonometric function. y = 4 sin(3nx)

A: The given function is: y=4sin3πx   We know that; The Power law: ddxxn=nxn-1 The chain rule:…

Q: What is the 28th derivative of sinx? (A cosx B sinx -cosx D none of the given choices - sinx

A: we have to find out the problem

Q: Find the slope of the graph of the function at the given point. Use the derivative feature of a…

A: Given: fx=sinxsinx+cosx   , π4,1 Formula Used: h.g'=h'.g+h.g'

Q: tan x Find the derivative of y = 1+sin x

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Q: Find derivatives of the first derivative involving differences, products, and quotients. sin x 1- y…

A: Using quotient rule we find Derivative  Since you have posted a question with multiple sub-parts, we…

Q: =[in(4-x cos (r4

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Q: Find the derivative of the trigonometric function.

A: The given function is y=31-sinx2cosx

Q: Using the basic and trigonometric differentiation formula, find the derivative of the follow…

A: Formulas used:

Q: Verify the derivative of cosine (use the definition of derivative). d[cos(x)]=- sin(x) dx

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Q: Find the derivative of the trigonometric function. y = 6 sin(3πx)

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Q: Find the derivative of the function using y = sin3x using 4 step rule. a. b. Find the first…

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Q: Sin 27 sin le

A: To find The derivative of y.

Q: What is the 28th derivative of sinx? A -sinx B -cosx cosx D sinx E) none of the given choices

A: Explained below

Q: Use the identity cot tan lu to derive the formula for the derivative of cot -lu from the formula for…

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Q: Find derivatives of the first derivative involving differences, products, and quotients. sin x 1- y…

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

Q: Find the derivative of the trigonometric function. y = -csc(x) - sin(x)

A: Given:y=-cscx-sinxFormula:ddxcsc x=-cscx cotxddxsinx=cosx

Q: The derivative of tan(9*x) is (sec(9*x))2(9))   Can you tell me where the sec2 came from?

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Q: Find an equation for the function f that has the given derivative and whose graph passes through the…

A: The derivative is f'x=-sinx2   Integrate the function with respect to x.…

Q: Find the derivative of: -2 sin (2x"). Hint: sin (x) = [sin(x)]...so use the chain rule (twice Submit…

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Q: Question 4

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Q: : Find the tangent line when the function 1- y= 4+Cot x -2Sec x and point (÷ ,0) 2- y= x2 at the…

A: We need to find the tangent line in question (1) and (2)  and derivative function in question (3)

Q: Use cos(sin^(-1)x)=Sqrt(1-x^2) to determine the derivative (sin^(-1)x)'

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Q: What is the derivative of 2x cos x ? 2 cos x - 2x sin x 2 cos x+ 2x sin x -2 sin x 2 sin x 2x-sin x

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

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Q: In(cos(x)) Find the derivative of cos(In(x))

A: Derivative using quotient rule (f/g)'=(gf'-fg')/g2

Q: Find the first derivative of the function 3 cos x y = x? sin(2e*)- ex Show all the works clearly.…

A: The given function is y=x2sin2ex-3cosxex.

Q: f (x) = (sin¬' x) In(- x +1

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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: compute the derivative square root of sin(x)

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Q: Using the basic and trigonometric differentiation formula, find the derivative of the follow…

A: Explanation of the answer is as follows

Q: Find the derivative. 5+ sec q 5- sec q

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Q: Given: f(x) =/1- sin² 4x , find the 5th derivative

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Q: Using the basic and trigonometric differentiation formula, find the derivative of the follow…

A: The given function is  y= sinx/(1+cosx)

Q: What is the 28th derivative of sinx? sinx B none of the given choices -cosx D -sinx A)

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Q: Find the derivative of  f(x) = sin(arcsin x) / arctanx

A: Let u=sin(arcsinx)u'=cos(arcsinx)ddx(arcsinx)u'=cos(arcsinx)11-x2u'=cos(arcsinx)1-x2Let…

Q: Find the derivative of the trigonometric function: f (x) -3 cos x + x* sin x

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Q: Find the derivative of the trigonometric function. y = 8 sin(5πx)

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Q: Determine the equation of the tangent line to the curve f(x) = sin4x – cos²x at x = Show all your…

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