Let f be a continuous function such that -6 [', f(x) dx = 9. What is the value of -3 f(x) dx = -10 and -3 -6 (ƒ(x) — 4) dx?

Q: = (x),! %D (b) Use part (a) to find the derivative of f(x). 4 (X)d – (4 + x)f (a) Compute the…

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Q: Let f be the function given by f (x) = 5x³ - 3x - 7. What is the value of f' (-2) ? B D -114 17 50…

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Q: Differentiate the following function. f(x) = e - 2x2 - 4x d (e -2x2 - 4x) - 2² - *x) = [ dx

A: Given f(x)=e(-2x^2-4x)

Q: The function f(x) = 1 + x decreases to 1 as x- 0. Does f(x) dx exist?

A: Given function is f(x)=1+x-1f(x)=1+1x Given integral is evaluated as follows.…

Q: The function f(x)=(2-x)/(3) is continuous at

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Q: For the function f(x) x + x3, find all of the relative and absolute extrema using the first or…

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Q: et f(x) = x³ + 4x. Using fact that f(2) = 16 find (f-1)'(16)

A: Topic:- application of derivatives

Q: 9. Describe an example that illustrates that If(x)| dx is not equal to |S f(x) dx|.

A: For a function f(x) the corresponding function |f(x)| is obtained by reflecting the parts below the…

Q: First derivative of ₂ F₁(x): d a {2 F₁ (a, b; c; x)} = dx a.b с 2F₁ (a +1, b+1; c + 1; x)

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Q: Consider the function:-- f (x) = 1/2 x2   Sketch a possible graph of f' .

A: Given function is fx=12x2. To sketch a possible graph of f'. Solution: Differentiating the given…

Q: Let f be the function given by f(x) = 4x³ - 5x² + 6x + 7. What is the value of f'(-1)? 28 O 12 CO

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Q: Differentiate the function. 2 f(s) : (2s7 + 5)8 f'(s) =

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Q: First derivative of ₂ F₁(x): a.b d{2F₁ (a, b; c; x)} = ªb 2F₁ (a+1, 6+1;c+1;x) b dx

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Q: 3. If y = 2 x –-1, find the length of the graph of f from point z = 0 to z = 1.

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Q: The slope of the line tangent to the graph of f(x) = 18 – 5x² at the point x = -8 O 20 O 10 O 160 O…

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Q: 3. Over which interval is the function f (x) = 1 + 2ex -3x increasing?

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Q: Letf(x) =(6x if 0≤ x ≤2,(−4 if 2 < x ≤6.Find ∫^6v0 f(x) dx.

A: Given information:Here, it is given that f(x) will be equal to 6x if x lies between 0 to 2 and f(x)…

Q: Consider the function. f(x) = x3 − 6x2 + 4 a. Find  f '(x). b. Find f ''(x). c. Find f ''(−6) and f…

A: We know that  d(xn)dx=nxn-1