Say that we also know f'(x) =0 at x 6. Which of the following must be true about the function f(x)? (Hint: plug in x= 6 for f"(x). Is your answer positive or negative?) (a) f(x) has a local maximum at x 0. (b) f(x) has a local minimum at x 0. (c) f(x) has a local minimum at x 6. (d) f(x) has a local maximum at x 6. (e) None of the above

Q: Use the graphs (see attached) of f and g to find (g - f)(-2).

A: To find (g - f)(-2).  (g - f)(x) = g(x) - f(x) value of both functions at x = - 2    g(-2) = 2 f(-2)…

Q: calculate following values:   f(-2) =  f(1) =  f(2) =

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Q: Follow the graph, I mean answer the question in photo.

A: Step 1: Given  f′′(x)=12x2+6x−4x+C Integrating:…

Q: Differentiate the function f(x) +5r DO NOT simplify or factor %3D (7-z)31 quotient 012 Your answer…

A: We have to find derivative

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: Given f(x) = 2x²-5x - 1 and g(x) = 2sin x, determine the values of x when f(g(x)) = 2 for 0 ≤ x ≤ 2.

A: The composite function is defined as a function made of the other functions, where the output of one…

Q: determine the positive and negative intervals of the equation f(x)=x2e17x

A: Note that x2≥0 for all x. And, e17x>0 for all x.   That means f(x)=x2e17x≥0 for all x.

Q: Why is the range of x/ absoulte value of x, from -1 to 1?   I don't get

A: Range of absolute value of x is positive number.

Q: Find the extreme and possible points of inflection (if an exist) of f(x) = In x

A: If a function f(x) is given, to find its inflexion or extrema, first find the critical points of the…

Q: Find f"(-1) if Ax) = (x² -x+1)(x +1). O -1 3. O -3 9.

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Q: Let f(x) = 2x - 13. Determine f-1¹(x).

A:

Q: A function and its graph are given. (x) = x + 2x2 - 12x – 20 60 40 20 -8 -6 -4 -2 6 -40- (a) From…

A: Answer

Q: Find the following for the function​ f(x) = x/x^2 +1  (h) f(x+h) please help me with this question

A: In this question, we will find f(x+h).

Q: Sketch the graph of the function g(x) = 3cos(2x) on the interval -2n s x s 2n.

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Q: SOLVE STEP BY STEP IN DIGITAL FORMAT 4. The graph of f is given. Use it to graph the following…

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Q: If f(x)= x + Vx , find the value of f(1)

A: Write f(x) using exponents, then use power rule and chain rule to find f'(x)

Q: Find an equation of the line tangent to graph of F(x) x² + 1 x²_4 2 (3,2). write the equation in the…

A:

Limits

When it comes to calculus, limits are considered to be a very important topic of discussion. The main importance of limit lies in expressing the value of a function as it gets closer to a certain value. Also, limits can help you to understand other topics, such as continuity and differentiability better. In a broader sense, every calculus notion is a limit. Other branches of calculus have also been derived from limits.