8) Use the definition of the derivative to calculate f'(x) if f(x) = -2x² + 4x and find the equation of the tangent line to the graph of f at x=3. 9) The surface area of a sphere is given by S= 47² where is the radius of the sphere. Find the instantaneous rate of change of S with respect to when r = 6.

8) Use the definition of the derivative to calculate f'(x) if f(x) = -2x² + 4x and find the equation of the tangent line to the graph of f at x=3. 9) The surface area of a sphere is given by S= 47² where is the radius of the sphere. Find the instantaneous rate of change of S with respect to when r = 6.

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Similar questions

Find the 2nd derivative of y with respect to x.In y = 2^x+cosh^-1 (2x)
Show that the derivative of the function sinh -¹ x can also be obtained by letting y = sinh -¹ x and then differentiating x = sinh y implicitly.

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