Which of the following is the derivative of the given function in simplified form? y = tan- (cot z?) y' = -2r csc" y' = 2.r sin? Option 5 Option 2 y' = -2r sin? y' = sin?

Q: Find the derivative of the function. f(0) = cos(0²)

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Q: Find the derivative of the function. y = cot?(sin(8))

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Q: Calculate the derivative of the following functions.

A: Given function is y=cos47x3. To find the derivative of the given function. Solution: Power rule of…

Q: Calculate the derivative.

A: The power rule of integration is given by , where C is an integration constant. The chain rule of…

Q: Find the derivative of the given function: 1. y = -cot (2x) + cot(2x) + 2x %3D 3

A: Find the derivative of the function y=-13cot32x+cot2x+2x.

Q: Find the derivative of the function

A: We use the chain rule

Q: Find the equation of the tangent line when x = a on the function (x) = -5 cos(x)

A: slope-point form : (y-y1)= m(x-x1) ; where 'm' is slope and x1,y1 is the point.

Q: Calculate the derivative of the following functions.

A: Given : The function is y =sin5( cos 3x) .

Q: g (x) sin? x + cos?

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Q: What is the equation of the line tangent to the curve e'+cos(x) = 1 at the point .0?

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Q: Find the derivative of the following function: 5. sin (cos(x))

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Q: Find the derivative of the following fuction.  f(x)=[(1+sinx)/(1+cosx)]1/2.

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Q: Find the derivatives of the function defined as follows.

A: Derivatives can be defined as rate of change of function with respect to an independent variable. It…

Q: Find the derivative of y with respect to x. 1 y = cot 16x² - 1 + sec - 1 2 - 1 4x, 4

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Q: (iii) y = +3 sinx+tanx (iv) y = xsin2x %3D

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Q: I sin x O S(z) %3D COS

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: Find the derivative of the trigonometric function. y = cos 4x

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Q: Find the derivative of the function r=sin(θ3)cos(3θ) dr/dθ=?

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Q: What is the third derivative of f (x) = a + cosæ?

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Q: y = cot (c*) Arc cos (1-2x)²

A: Explained below

Q: What is the derivative of sin? x f(x) = with respect to x? COs x

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Q: Find the derivative of the following functions: y = In(sec x?) + tan-1(cosx) +4 tan x?

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Q: Which of the following functions have a 4th derivative different from itself? ex sin x CoS X

A: In this question, we need to find which of the given functions have a 4th derivative different from…

Q: What is the equation of the line tangent to the curve e'+cos(x) =1 at the point

A: On solving this we will get

Q: What is the value of the derivative of y=sin(x)cos(x) when a = 2? Write the answer in exact form, an…

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Q: Calculate the derivative of the following functions. y = sin5(cos 3x)

A: we have to calculate the derivative of the function y=sin5cos3x.

Q: Find an equation of the tangent line to the curve at each given point. x 2 3 cos e, y = 3 + 2 sin e…

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Q: What is the equation of the line tangent to the curve e' + cos(x) = 1 at the point (,0

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Q: Calculate the derivative of the following function. y=cot(18x ex)

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Q: Find the derivative of the function. y = cot 2 ( sin x)

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Q: Find the derivative of the given function. 402 y%3D cos

A: Given,          The function is y=cose-4θ2.

Q: Find the derivative of the given function: 1. y = --cot3(2x) + cot(2x) + 2x 3 secx 2. у %3D 1+tanx…

A: We have to find derivative Cot x = -cosec² x  Tan x = sec² x Cosec x = -cosec x cot x

Q: 2. y= cos (x³ + 1)

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Q: Find the derivative. ( cos ft dt x10 COS^/

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Q: Find the Derivative of the given function. If y = cos +zv1- 2² , then dy dz Note: simplifying the…

A: Find the derivative

Q: Find the derivative of the function. (0) = cos(0?) r(0) =

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Q: Find the derivative of the function. Simplify where possible. y   = Cos-1(Sin-1t)

A: y=cos-1sin-1t

Q: Calculate the derivative of the following function. y=cos(9sinx)

A: y= cos x  y' =- sin x  y= sin x  y' = cos x

Q: y = cos /sin ( tan tx

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Q: Find the derivative of the function below.   r-sin (theta^9)cos(9*theta)   dr/dtheta=

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Q: Find the first and the second derivatives of the following function sin x y sin( xy) cosx

A: Chain Rule:- It is called the chain rule because the derivative of composites of function is used by…

Q: The first derivative of the given function is y = sec?. %3D 2х + 1

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Q: Find the derivative of the following. y = 1/2 tan x sin (2x) + cos (2x)

A: Given function is y=12tanx sin2x+cos2x. Solution: Product rule of differentiation states that:…

Q: Use forward difference formula to evaluate the first derivative of y = cot(x) at x = pi/2 using a…

A: Given function is y=cotx. We have to evaluate the first derivative of y=cotx at x=π2 using a vale of…

Q: Find the derivative of: 8 sin? ( – 9x*). - Hint: sin? (x) = [sin(x)]*..s ..so use the chain rule…

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Q: In(x*y?) — х? +уз

A: Given equation is: lnx3y2=x2+y3 ......................... (1) We have to find d2ydx2 i.e. y".…

Q: Find the equation of the tangent line to y = g(x) =x? + 2 cos(x) at the point where x= 2

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Q: I need help evaluating a derivative of a function at the point (pi/2,18pi)

A: We have given

Q: Find the derivative of the function. y = cos sin(tan(9x))

A: The function is given by y = cossintan9x

Q: Find the derivative of the function. y = cos V sin(tan(3x)) )

A: Topic = Derivative