2. Explain how the maxima and minima of f(x)=sinx, gix)=sin(2x) and hox)=sin(3x) affect the shape of kx)=sincx) sin(2x)+sin(x) You are adding the y-values of the function together. 3. If f(x)=sinx and g(x) = cosx, what is the impact when these functions are divided to form a compound functioh such as hox) xgx) sincicos(x) Explain

Q: Step 3 Now write the derivative in terms of x by recalling that u = -3x + 7 and v = x + 7. du 1 +=…

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Q: Set f(x) = 1 7x³ + 3x + 2 . (1, 1/12) is on the graph of ƒ. Find (ƒ-²¹) (¹2). The point 1,

A: The solution to find the value of inverse of f(x) at 1/12 is as follow.

Q: 3x²+1 e) у %3D cos?(3x?) f) y = x-2

A: We need to evaluate the derivative of the following function e y = cos23x2f y = 3x2+1x-1

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Q: a) y = −8x² + 4x¯¹ − 2 b) f(x)=√√x - √x 5 c) g(x) = x³

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Q: Find the derivative of y sin ¹(3x) x sin ¹(3x)-3x√1-9x²-9x² sin ¹(3x) x² (1-9x²) sin…

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Q: Consider the function f (x) = 25 + 3x² – 7x + 2+4. What is f' (2) ?

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Q: Consider the following function: Step 1 of 4: Determine ƒ'(x) and ƒ"(x). f(x) = (x − 1)(x+8)² Answer…

A: Step 1:To determine f′(x) and f′′(x) for the given function f(x)=(x−1)(x+8)2, we can use the product…

Q: I don't really understand the question below Given f(x) with f(1) = 2 and f′(1) = 5, find (a):…

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Q: If f(x) = cos(2x), then f"|

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Q: d dx f(x)=sina, f(0) = 7.

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Q: f (x) = (coshx)4* Find f'(0)

A: We have to find the following

Q: If f(x)= cos(4x) Plot the function from (x=0) to (x=180)

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Q: Differentiate the functions. a) f(x) = 2 – 3x + b) f(x) %3D Зе* + sinx c) f(x) = 3x

A: As per guidelines, we will solve only first three subparts. Kindly repost other subparts separately.

Q: Solve the following calc 3 problem: Find the derivative of the function at the given point in the…

A: The objective of this problem is to find the derivative of the function f(x, y) = -7x²+4y at the…

Q: Step 2: Step 3: Sten 4:

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Q: a) f(x)=x44 b) g(x)=(3-x+4x²)(2x²- c) h(x) = x² – 3x 2-x²

A: ddxxn=nxn-1 ddxfxgx=gxf'x-fxgxgx2 [As per the guidelines I am answering only first 3 parts of the…

Q: b) f(x)=√x - √x c)

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Q: (4) The Temperature T (measured in degrees Fahrenheit) in a growing chamber varies over a 24-hour…

A: Given Tt=68+sinπ12t

Q: Does Rolle’s apply? If so, give the value of c where it applies. f(x) = x^3 -3x^2 +2x ; [0,2]

A: The given function is:fx=x3-3x2+2x with the interval 0,2.We need to check whether Rolle's theorem…

Q: Q2) Use implicit differentiation to find y'" if y2 – 2x = 1 – y

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