1) Find the linearization L(x) of f(x) at x = a.
f(x) = 2x2 + 4x - 1, a = 4
2) Use implicit differentiation to find dy/dx and d2y/dx2.
xy + 3 = y, at the point (4, -1)
3) Provide an appropriate response.
The line that is normal to the curve x2 - xy + y2 = 25 at (5, 5) intersects the curve at what other point?
4) Find the second derivative.
y = 4x2 + 10x + 2x-3
5) For the given function, find each of the following:
(A) Intercepts
(B) Vertex
(C) Maximum or minimum
(D) Range
f(x) = (x + 1)2 - 4
6) Find the slope of the line tangent to the curve y = 3x2 + 9x - 5 at the point (-2, -11).
7) Use implicit differentiation to find dy/dx.
cos xy + x4 = y4
Pleas i want answer this Questions (1 -7) Analytical Geometry & Calculus
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