4z and draw the tangent lines to the graph at points whose x-coordinates Graph the function f(z) = are -2 , 0, and 1. Clear All Draw: f(r + h) - f(x) Find the difference quotient h f(z + h) – f(z) Find f'(z) by determining lim h+0 h Find f'(- 2) (This slope should match the tangent line you drew above.) Find f'(0) Find f'(1)

Q: Find an equation of the tangent line to the graph of the function at the given point, (a) use a…

A: Given: y=4x3+32   . . . (1) We have to find the equation of the tangent line to the graph of the…

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A: It is given that graph of f passes through 1 , -8 and slope of the tangent at x, fx = 2x+1i.e    f'x…

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A:

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A: Take y=ax3+bx2+cx+d Differentiate with respect to x, y'=d(ax3+bx2+cx+d)dx Since the tangent is…

Q: Find equations of the tangent lines to the curve y²-xy-6=0 at the points (-1,2), and (-1,-3).

A: Given curve: We have to find the equations of the tangent line to the curve  at the points  and

Q: Find the derivative of the function. y = 9 arcsin) – x/9 – x² Step 1 Rewrite the given function y =…

A: Given: --------------------------------------------------------------------------------------------…

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A: Solve, as follows: 4xcosy+1=541cosy+x-sinydydx=0dydx=cosyxsiny

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A: Given- fx=xx2+49 To determine smaller x-value and larger x-value.

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A:

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: