Find an equation of the line that is tangent to the graph of f and parallel to the given line.
function: f(x) = x2 − 6
line: 2x + y = 0
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Find an equation of the line that is tangent to the graph of f and parallel to the given line.function: f(x) = x2 − 6line: 2x + y = 0
1. Find an equation of the line that is tangent to the graph of f and parallel to the given line. Function Line f(x) = 2x2 2x − y + 2 = 0 y = 2.Find the slope of the graph of the function at the given point. Use the derivative feature of a graphing utility to confirm your results. f(x) = 2(2 − x)2, (6, 32) f '(6) =
1/A/Consider the following.:f(x) = x2 − 4x − 1
Complete the table. (Round your answers to four decimal
places.)
x
0.9
0.99
0.999
1
1.001
1.01
1.1
f(x)
?
Use the result to estimate the limit. Use a graphing utility to
graph the function to confirm your result. (Round your answer to
four decimal places. If an answer does not exist, enter DNE.)
lim x→1 (x2 − 4x − 1) = ?
Can you please explain in clear details,step by...
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Find an equation for the tangent line to the graph of the given function at (4,23). f(x)=x2+7 Find an equation for the tangent line to the graph of f(x)-x+7at (4,23) y =
35. f(z) (3z+5)5 f(x) = SK-53 x-2 x2 -2x 37. f*)-+1 In problems 54-61, find dy/dx. 54. xy'- xy+10 0 In problems 62-63, find the equation of the tangent line to the given graph at the given point. 62. yxy - 6 0 at the point (1,2) 63. x+xy - vy-3 0 at the point (1,4) In problems 64-78, find y for the equation.
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2. Use Definition to find the equation of the tangent line to the graph of the equation y- 1/2 at -2 3. Find the points on the graph of y2-/2 at which the tangent line is parallel to the line y - 3. 4. Sketch the graph of a continuous function f that satisfies all of the stated conditions. f(0) 2, f(-2)- (2)-0, f(-2) f(O)-f'(2)-0 f"(z) > o if-2<zco, f,(z) < 0 if <-2 or x > 0;
2. Use...
5 and 6 please
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3.1.37 a. Find the derivative function f' for the function f. b. Find an equation of the line tangent to the graph off at (a f(a) for the given value of a. c. Graph fand the tangent line. f(x) = 2x²+x-1, a=-1 a.f'(x)=