حست في 2.7 ممكن الي حلو يساعدني

[dr.loge]

Consider the parabola y = 4x - x2. (a) Find the slope of the tangent line to the parabola at the point (1, 3).
1

(b) Find an equation of the tangent line in part (a).
y = 2

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Find an equation of the tangent line to the curve at the point (5, 3).
y = 1

______________________________Find an equation of the tangent line to the curve at the point (9, 3).
y = x

y = 1

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Find an equation of the tangent line to the graph of y = g(x) at x = 3 if g(3) = −5 and g'(3) = 4.
y = 1



If the tangent line to y = f (x) at (8, 7) passes through the point (0, 6), find f(8) and f '(8).


f (8)= 2 f '(8)= 3
1

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Consider the function below. g(x) = 1 - x3
(a) Find g'(0).
1

(b) Use it to find an equation of the tangent line to the curve y = 1 - x3 at the point (0,1).
y = 2

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Find f '(a).f(t) = t3 - 6t
f '(a) = 1

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