Question (2): Answer the following (A) Find the first derivative of the following function: 1+ cos2x f(x) = 1- cos2x

Q: 2х -1 Find the derivatives of the following functions Sin 1+x?

A: the given function is y=sin-12x1+x2

Q: e) Find the derivative: In sin 5x. 3) Find the derivative: = In- (3х-4)2

A: For this problem, we need to use inner derivation formula.

Q: solve all conected Question 3: Find the equation of the tangent line to the curve at the given…

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Q: ACTIVITY 2: Find the derivative and simplify the result, if possible y = x2 + n² +x" y = x2 sec x y…

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Q: ind the second derivative of ?=2+1/x

A: Given that: f(x)=2+1x

Q: Question 3 Determine the derivative of In(csc x) cot x Csc I - cot x CS z Previous

A: A detailed solution is given below

Q: Question 8 of 25 > Find the derivative of the function f. 3 √x f(x) = O At

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Q: QUESTION 15 The second derivative of the function y= 3x4-20x2, at x = -5 (round your answer to…

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Q: 25-32 Use implicit differentiation to find an equation of the tangent line to the curve at the given…

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Q: 6. What does the following identity tell us about the derivatives of sinx and cos-x? sinx+ cosx =5

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Q: (b) Find the first 4 derivatives of f (x) =b cos (x), and use the results to find the following…

A: We find the first 4 derivatives.

Q: 3a'x-x? Find the derivative of the Tan a (a²-3x*)

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Q: Question D. Use implicit differentiation to find all the derivatives. 1 3yz? - cos 4z – 3y² = 4 xyz…

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Q: 25-32 Use implicit differentiation to find an equation of the tangent line to the curve at the given…

A: Given an equation,

Q: -1(1+x Find second order derivatives of the function Tan 1-x

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Q: Question Find the derivative of f(x) = 2 cos x – 8x.

A: Given that, f(x)=2cosx-8x

Q: Question 21 Given the function f(x) = x to the 3rd power -6x + 2, find the value of the first of the…

A: Differentiate wrt x

Q: Question 20 Given the function fx) x to the 3" power 6x 2. find the walue of the first of the first…

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Q: Question 6 Find the derivative of the function y = 8ln(cos 2x)+ 5tan? (3x) Write the value of y' (0)…

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Q: y x sin x +x cosx

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Q: cos (2x) Find the derivative of cos(e2«)

A: Given that: ecos2xcos(e2x)

Q: 39–50 Use logarithmic differentiation to find the derivative of the function. --.2 44. у — х* .cos x

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Q: /1 Points] DETAILS PR Find the derivative of the function. y = sin(tan 7x)

A: Given the function  y = sin(tan 7x) we need to find it's derivative. Formula :  Let y = f(g(x)) then…

Q: QUESTION 5 Find the derivative. y%3= + 8 sec x Oy'-2- 8 sec x tan x x2 Oy'- - 7. +8 sec x tan x Oy'=…

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Q: How do I find the derivative of (Sin^-1(1/x))? What rules do I use?

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Q: 10-37 Find the derivative of the function. 1 10. f(x) = Vx2 – 1 -

A: As per our guidelines we are supposed to do only 1 question at a time. Please ask other questions as…

Q: Find the second derivatives of f(x) = 2x2+3x  3x+5

A: Since you have asked multiple questions in a single request, we will be answering only the 1st…

Q: 61-62 Find the given derivative by finding the first few derivatives and observing the pattern that…

A: The given expression d35dx35xsinx

Q: Part 1 Find the equation of the tangent line to the curve a(x) = 3 sin x+In(x2 - 5x +1) – e-6z at a…

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Q: Question 7 Apply the first principle of differentiation to find the derivative of ( a) f(x) = Vi-2x…

A: We use here first principle of Derivatives to obtain Differentiation.

Q: (a) Find the first 4 derivatives of f (x) = sin (ax), and use the results to find the following…

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Q: 1. Find each derivative. a) y = sin- X c) f(x) = ln- sin x COS X b) y = cos(x² - 2x-8)

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Q: Question 19. Obtain the second derivative of the function f(x) = -5x? + 2x5 + 4. Enter your answer…

A: Topic:- derivatives

Q: 9. Solve 4(sec² x)(3 – tan x)/2 dx by substitution. Remember that the first derivative of tan x is…

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Q: Question (4): Find the first derivative of the following function: y = sin (x - x*)

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Q: Question 3 Determine the derivative of ln(csc x) - cot x CSC I O csc x cot x

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Q: 7-46 Find the derivative of the function. 14. f(t) = t sin #t

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Q: Find the 58th derivative of the function f(x)=cos(x). The answer is

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Q: Question 16 O [CLO-2] Find the derivative of f(x)=tan -¹ (√2x) O √√2x+√√88² (1+√√2x)² 1 √√√2x+√√2x³

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Q: EXAMPLE 1.2 The Derivative of the Log of an Absolute Value For any x for which tanx # 0, evaluate In…

A: Solution of the problem as follows

Q: Question 26 Calculate the second derivative of the function y = In(cosx). A -sec'x B) -csc2x csc?x…

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Q: 12 Find the derivative of f (y) = 5 tan (y) – Enclose arguments of functions, numerators, and…

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Q: QUESTION 6 Find the derivative. 10 y= +6 sec x Oy'= 10 +6 tan?x O y'= - 1 - 6 cscx Cy = +6 sec x tan…

A: We can use the derivatives in order to solve the given problem

Q: finding the nth derivative of tan

A: Find nth derivative of y=tan-11+x1-x Let x=tanθ Then y=tan-11+x1-x=tan-11+tanθ1-tanθ…

Q: What is the derivative of y = 8 cos x? -16 sin x -8 sin x 8 sin x 16 sin x

A: In this question, we need to find the derivative.

Q: Find the first derivative of y=tan? (3x²-4). A) x tan (3x²-4) B 12x tan(3x2-4) sec²(3x²-4) (c) sec?…

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Q: Question 1 Find the derivative of f(x) = 2x +3 Provide your answer below: f'(x) =O

A: Answer and explanation is given below

Q: Question 1 Suppose f (x) = x² + 2x + 1 and P = (-3, 4). a) Find the derivative of f (x) at the point…

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Q: (a) Find the first 4 derivatives of ƒ (x) = sin (ax), and use the results to find the following…

A: Given:

Q: 1-x Find the derivatives of the following functions sinh' 1+x

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Rate of Change

The relation between two quantities which displays how much greater one quantity is than another is called ratio.

Slope

The change in the vertical distances is known as the rise and the change in the horizontal distances is known as the run. So, the rise divided by run is nothing but a slope value. It is calculated with simple algebraic equations as: