7 Consider The Function F X 2x2 9 3x If X 3 If X 3 I By Examining The Left Hand Derivative And The Right Hand 1 (10.72 KiB) Viewed 13 times
7 Consider The Function F X 2x2 9 3x If X 3 If X 3 I By Examining The Left Hand Derivative And The Right Hand 2 (9.86 KiB) Viewed 13 times
7 Consider The Function F X 2x2 9 3x If X 3 If X 3 I By Examining The Left Hand Derivative And The Right Hand 3 (9.86 KiB) Viewed 13 times
7. Consider the function f(x)={−(2x2−9)3x if x<−3 if x≥−3 (i) By examining the left-hand derivative and the right-hand derivative for x=−3 determine if f is differentiable at x=−3 (See pp. 168-169(H).) (8) (ii) Is f continuous at x=−3 ? (Give a reason for your answer.) (iii) Is f continuously differentiable on (−∞,−3) ? Motivate. [12]
7. Consider the function f(x)={−(2x2−9)3x if x<−3 if x≥−3 (i) By exaunining the left-hand derivative and the right-hand derivative for x=−3 determine if f in differentiable at x=−3 (See pp. 168-169(H).) (8) (ii) Is f continuous at x=−3 ? (Give a reason for your answer.) (iii) Is f continuously differentiable on (−∞,−3) ? Motivate. (2) |12]
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