Follow the 5 Steps for Curve Sketching to sketch the graph of the function. f (x) = ²-x²-3 Step 1: Find the critical points and plot them on the graph on the next page. a. Find the first derivative. b. Set the first derivative equal to 0 and find where the first derivative does not exist. c. Plug the x-value of each critical point into the original function to find the y-value of the point itself. Step 2: Use the table below to test the regions to see where the function increases or decreases. Include your work for determining the sign of each interval. Intervals Sign of f'(x) Behavior of f(x)

Q: Find an equation for the line tangent to the graph of the given function at the indicated point. x2…

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Q: Use the second-derivative test, if possible, to find relative extrema of y x5 – 5x. -

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Q: Determine the stationary points of the function f (x)=x*e stationary point. Then sketch the graph of…

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Q: Let f(x) = 5.7x² - 8x. Use the difference quotient and h = 0.001 to estimate the slope of the…

A: The given function fx=5.7x2-8x. We have to find the slope of the function using the difference…

Q: A. f(x) = 2xª + 5x² - 5 %3D X slope - 4 - 1/2 2.

A: Solution:  Given f(x)=2x4+5x2-5To find the derivative of f and then the slope of each given…

Q: A. f(x) = 2x4 + 5x² %3D slop

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Q: Find the derivative of the function. y = 10(9 – x2)3

A: Find the derivative of the function y=109-x23.

Q: Find the x-value(s) where the graph does not have a derivative. The x-value(s) where the function…

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Q: What is the slope of the function? f(x) = x² +xy – y² = 5 at (1,1)? A. 3/2 B. No slope C. -3/2

A: we have to find the slope of the function . Given : f(x) =x2+xy-y2=5 at (1,1).

Q: Find the slope of the tangent line to the graph of the given function at the given value of x. Find…

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