f(x)= 2 sin x / 2 + cos x Find f’(x)= Simplify your answer. (Quotient Rule) Please explain it step by step.

Q: If f(x): ƒ'(x) = f'(5)= = 7x² + 2x + 5 √x " then:

A: Given: It is given that the function is fx=7x2+2x+5x. To find: The main aim is to find the…

Q: Find the derivative of f (y) = 5 sin6 (yª).

A:

Q: 3/Describe using words the transformations that can be applied (in order) to the parent function to…

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Q: 5. Let f(x) = sin x cos x a) Determine the first derivative, and the second derivative. b) What is…

A: fx=sinxcosx

Q: True or False It is impossible to obtain exact values for the inverse secant function.

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Q: Suppose that f(2) = 2. f'(2) = 8, g(2) = 2, and g'(2) = -2. If F(x) = (f • g)(x) and G(x) = (g •…

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Q: Find the derivative of the 1 f(x) = x5 + (x² + 7)(x² – x – 2) + 17 5.

A: Given: fx=15x5+x2+7x2-x-2+17

Q: 5. Find the derivative of each problem below, do not simplify. tan(2.x) f (x) = x² +2 а. b. f(x) =…

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Q: Apply the rules of derivatives to find the derivative of 4x3 – 2x? h(x) x2 cos x

A: Here the function h(x) is given, we have to find the derivative of the h(x). Before applying rules…

Q: 3) Find f'(x) for the function f(x) = V5x² + 3. Simplify the result.

A: given :

Q: Let f(x) = 3 cos x f'(x) = ƒ'( -5 ) 6 = 7 tan x

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Q: Use Part 1 of the Fundamental Theorem of Calculus to find the derivative of the function f(x) = Snce…

A: Given: f(x)=∫sin(x)31+t3dt

Q: Find the second derivative of f(x) = 9 sin (2x). Enclose arguments of functions in parentheses. For…

A: On solving this we will get

Q: Using the definition, find the derivative of f(x) = _I 3√x -X

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Q: g(b)= g'(b)= Calculate g(b) and g'(b) where g(x) is the inverse of f(x) - 18, where b 248

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Q: Differentiate the function L(x) = -6e"(cscx + 7cotx). Answer L'(x) =

A: Given Equation : L(x)=−6ex(csc(x)+7cot(x))   L'(x)= derivative of L(x)

Q: Select the derivative of the following function from the potential answers Select one: O a. O b. O…

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Q: Let f (x) = x* + x³ + x² + x. It is difficult and extremely ugly to find a formula for f-1(x).…

A: We will use the relation between f and f-1 for this problem.…

Q: Can you help with this practice problem

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Q: Differentiate the function f(x) = 8x²- -6² +x7/3 8 x² - Find an equation of the tangent line to the…

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Q: b) H(x) = (3 sin x + 5 cos x) e²

A: Given query is to find the derivative of the function.

Q: i need to find the derivative

A: Given that the function is

Q: Let f(x) = 7x sin(x) cos(x). Evaluate f'(x) at x = ³7. ƒ'( ³ ) =

A: I have appended the formula used in the solution part of the question

Q: Plot the function f(x) = sin(x)cos(2x) and its derivative, both on the same plot, for 0<x<2n. Plot…

A: Given f(x) =sin2(x)cos(2x)⇒f'(x) =2sin(x)cos(x)cos(2x)-2sin2(x)sin(2x)

Q: Find the derivative of f(x) = 2(x² + 3x) cos(sin(x³)).

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Q: 8. y= sec® (e-sin?x) |

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Q: If f(x) = ƒ'(x) = f'(5) = = √x - 3 √x + 3 3 find:

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Q: Step 2 Now write the derivative in terms of x by recalling that u = x³ = x + 8. [eu] = (eu) du dx…

A: I have solved step by step in detail....go through the solution