Q/Write numerical programme to calculate the first derive for the following function Y(x)= x+1 x²+2 in term of an analytic, central, forward and backward differences respectively. using 101 points from x=0 to x=3. and plot the estimates and the actual function derivatives.

Q: Find the equation of the tangent line to the curve f(x) x-4 x at the point (3, -3). %3D

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Q: Range of y = 1/x

A: The given function is y=1/x

Q: f(x ) = x -3 х 2—9

A: Simplify the function then take derivative and draw the graph.

Q: Instructions: Determine the derivative of the ff. functions 1. y = 6x4 + 7x³ - 8x² + 9x - 10 2. y =…

A: According to guidelines we can solve only first 3 subpart. Please resubmit the others. Thank you.

Q: 2. Which of the following represents the derivative of the function: (1 Point) 2ty %3D

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Q: mine the value(s) of x where the slope of the tangent line is horizontal. Use exact valı…

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Q: 1. Sketch the graph of the derivative of the function:

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Q: Is the function y=sec x always defined? Why or why not?

A: y=secx

Q: Locate the stationary point of the following functions and determine their character. y= 1/2x^4 -…

A: Please see the below picture for detailed solution.

Q: Estimate the slope of the tangent line of the function y(x) = 24 at x = 1. 2+x (Use decimal…

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Q: Find the derivative for each function. ㄷ 7. y=x² +2 9. y=2x²-x+3 A. 6. y=3x²-6 8. y=x²-3x+2 10.…

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Q: Find the equation in slope-intercept form of the line tangent to f(x) = 4x² + 4x − 9 at x = 3 . The…

A: Here we have to find the equation of line.

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

A: slope at (2,1) is dydx at (2,1) equation of the tangent line with slope and point x1,y1 is y-y1=…

Q: Domain and range of y= 7/x+1

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Q: Deduce the derived function for y = cot -¹x.

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