-가 Question-2 a) Find the derivative of f(x) = 2x? –- at x = 3 using definition of derivative at a point. (6+ 2x, 0 < x < 3 x = 3 b) If the function g(x) = }a, (kx, is continuous, then find the 3 < x< 6 value of k and a. Oueg

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Question-2
a) Find the derivative of f(x) = 2x² – - at x = 3 using definition of
derivative at a point.
(6+ 2x, 0 < x < 3
x = 3
3 <x < 6
b) If the function g(x)
= {a,
is continuous, then find the
(kx,
value of k and a.
Question-3
a) If lim (3x² – 8x + 3) = 3, then find the values of m.
x→m
b) Find the coordinates of the point(s) of the function y = 3x – 5x + 2, where
the tangent has a gradient (slope) of 4.
Transcribed Image Text:+가 Question-2 a) Find the derivative of f(x) = 2x² – - at x = 3 using definition of derivative at a point. (6+ 2x, 0 < x < 3 x = 3 3 <x < 6 b) If the function g(x) = {a, is continuous, then find the (kx, value of k and a. Question-3 a) If lim (3x² – 8x + 3) = 3, then find the values of m. x→m b) Find the coordinates of the point(s) of the function y = 3x – 5x + 2, where the tangent has a gradient (slope) of 4.
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