For f(x) = 5x - 6, find the number c in (-2, 2) guaranteed by Rolle's Theorem. %3D (Use symbolic notation and fractions where needed.)

Q: If f(1) =1 and f (x) 2 3 for 1 <x < 3, how small can (3) possibly be?

A: We will find the smallest possible value of f(3) as following.

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A: Given,

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A: We can make it easier for you

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Q: 2x + 6 If f(x) find: 6x + 6 f'(x) = %3D f'(4) =

A: Quotient Rule of differentiation is given as, If f(x)=g(x)h(x)then f'(x)=h(x)g'(x)-g(x)h'(x)h(x)2…

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A: If h(x) = 3+3f(x)   where f(1) = 7 , f'(1) = 2 differentiate h(x) with respect to x.   then put x=1

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A: The objective is to generate the approximation formula,

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A:

Q: For f(x) = 3x +9 find f-(-4). %3D x-5 If necessary, answer with a reduced fraction or four decimal…

A:

Q: Find the antiderivative of f(x) = x³ – 6x +7

A: fx=x3-6x+7 to find the antiderivative, we need to take an integration Fx=∫ fxdx

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Q: (d) f(x) = ev4r+1 f'(x) = ,

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Q: 4x + 6 If f(x) = find: 7x + 4 f'(x) = %3D f'(1) =

A:

Q: For which values of c does f (x) = x2 + cx + 1 have a double root? No real roots?

A:

Q: Given f()= 2x + 1 and ()= r*+ 2x-1, fnd (f- (1).Then valute the difence when x=2.

A: Sum and difference of the two functions

Q: GIVEN: f(x)=x²-13x +9=0 X-1 = 2.000 Xo = 2.500 USING THE SECANT METHOD, DETERMINE THE % ERROR AFTER…

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Q: For what values of x is Ax) concave down if f "(x) = 3x' – 14x² + &r?

A: Given that, f''x=3x3-14x2+8x For what value of x is fx concave down.

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Q: Calculate L4 for f(x)=57cos⁡(x^2) over [2π/4,2π/2].

A: Given, f(x)=57cos(x2)   over [2π4,2π2] f(x)=57cos(x2)   over [π2,π]

Q: 6x + 6 If f(x) = find: %3D 4x + 4' f'(z) = f'(3) =

A:

Q: Give the formula for f(n) (x) where f(x)= 1/(3x-1)

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Q: Which of the following is an antiderivative of f(x) = 12x³ - 9x2 + 8x – 3?

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Q: nd fogoh. f(x) = x – 8, g(x) = Vx, h(x) = x – 8 %3D

A: Sove function as general

Q: x for -n Sx 2n

A:

Q: f(x) = 15- (3-t)(r - 8t + 7)

A:

Q: If 0.3 is added to 0.2 times the quantity x − 3, the result is 2.5. What is thevalue of x?

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Q: 29. f(x) = (x* + 1)-2 %3D

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Q: find the most general antiderivative of f(x)=6x^5-8x^4-9x^2

A:

Q: Find the most general antiderivative of f(æ) = -5x + (1 – a²)-1/2, where -1 < x < 1. F(x) =

A:

Q: 4. Find a formula for the inverse of f(x) = V2 – 8x.

A:

Q: If f(2) = 2 and f '(x) ≥ 3 for 2 ≤ x ≤ 6, how small can f(6) possibly be?

A: given that f(2)=2,f'(x)≥ 3 for  2 ≤ x ≤ 6. we need to find how small can f(6) can be We use Mean…

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A: First we find critical value and then use first order derivative test.

Q: Find the approximate value of f (3.02), where f(x) = 3x2 + 5x + 3.

A: Given

Q: Solve the DE f'(x) = 5x given that f(0) = 3. %3D

A: The objective of the question is solve the  DE with help of given conditions.

Q: With f(x) = 3x +1 and h(x) = 2x – 4, find (f o h)(5)

A:

Q: Given f(x)=x² + 5x + 6, what is (2+)-7 O² + 14h 02x+h+5 Oh+4 09+h equal to?

A: Put value in function and then solve

Q: Solve the DE f'(x) = 5x given that f(0) = 3.

A:

Q: Find the value of x and y for f(x)=3x2+9xy-y2-9x,if fx(x,y)=0 and fy(x,y)=0

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Q: 5) [ (x² +1)´dtan x3

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Q: Find the most general antiderivative of the function f(x) = 72° – 6x³ + 3x?.

A:

Q: . For f(x) = 6x + 8, find the solution to f(x) = 35.

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Q: -10 If Lf'(x) dx = 7 and f(10) = -2, find f(-4).

A:

Q: For y = f(x) = 2x, find Ax, Ay, and - Ay 4x² Ax= given X₁ = 3 and x₂ = = 6.

A: The simple average rate of change

Q: 5x +6 If f(x) find: %3D 6x + 2 f'(z) = %3D f'(3) =

A:

Q: For f(x) = 2x + 1 and g(x) = x² – 7, find (f- g)(x). %3D O A. 2x2 - 15 O B. -x² + 2x- 6 O C. - 2x -…

A: Given that : The functions , f(x) = 2x + 1  and g(x) = x2 - 7 .