5. On the grid provided, draw the graph of the function g(x), given the following. 5x + 15 10x + 60 f(x) = x(x + 5)3, f'(x) = f"(x) = 4 3(x+ 5)(3) 9 (x + 5)3 a. First derivative sign chart and the extreme values. b. Second derivative sign chart and intervals of concavity of the function.

Q: (3x²-5)°(4x³-7) 4. Find the derivative of f(x) DO NOT SIMPLIFY (first step only) (2x-1)*

A:

Q: Write the equation of the tangent and normal lines to f(x) at x – 1 x = = 4.

A: Consider the given function fx=x+1x-1 at x = 4. Tangent line: Obtain the y-coordinate of the point…

Q: y=/(x) -3 -1 3. ****

A: Given , the graph of                            y=f(x)

Q: #1 Find the second derivative of each function 4x+2 a. a. f(x) Зх-6

A: First calculate 1st derivative of f(x) and g(t). Apply  d/dx of (u/v) in problem a. and chain rule…

Q: Use the graph of f and g. p(x) = f(x)g(x) f(x) q(x) = g(x) y 12 10 8 6 2 -2 6 8 10 (a) Find p'(4).…

A: a) Given that p(x)=f(x)g(x)So, p'(x)=f'(x)g(x)+f(x)g'(x) [product rule]We plug…

Q: The yearly demand function for Penn State Bakery cookie trays is given by x² + 3p² + 5x + 6p = 195…

A:

Q: The graph of f(x)=x^3-3x^2-3x+10 has a slope of 6 at two points. Find the coordinates of the points…

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Q: Please check 4-5.

A: Given function is   1.  g(x)=8x3+84x2+288x     then   g'(x)=24x2+168x+2882.  g''(x)=48x+1683.…

Q: Which step is part of finding the derivative of the function below? The correct choice may not be in…

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Q: 9) Find the value of the derivative at the point (2,-18) ƒ(x) = -3xV2x + 5

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Q: Find the derivative of the following function by first expanding the expression. f(x) = (2x + 7)…

A: Given that the function

Q: ☐ ☐ 4. The figure below shows the graphs of f(x), f'(x), and f" (x). Identify each curve. blue black…

A: Step 1:Step 2: Step 3: Step 4: