2005
Mathematics
67ca00ce0c643c71d77dee1f
If y = (1 - 2x)3 , find the value of dy/dx at x = -1
A.
57
B.
27
C.
-6
D.
-54
Correct Answer: -54
Explanation
y = (1 - 2x)3 let u = 1-2x du/dx = -2 ∴y = u3 dy/du = 3u2 But dy/dx = du/dx * dy/du = -2 * 3u2 = -6u2 = -6(1-2x)2 At x = -1: dy/dx = -6(1 - 2(-1))2 dy/dx = -6(1 + 2)2 = -6 * 32 = -6 * 9 = -54
y = (1 - 2x)3 let u = 1-2x du/dx = -2 ∴y = u3 dy/du = 3u2 But dy/dx = du/dx * dy/du = -2 * 3u2 = -6u2 = -6(1-2x)2 At x = -1: dy/dx = -6(1 - 2(-1))2 dy/dx = -6(1 + 2)2 = -6 * 32 = -6 * 9 = -54THIS WEEK's
Latest Articles
Top-Scorer Okoro Uchechukwu Solomon Reveals How He Scored 337 in JAMB
by samuel olalekan adeyemi
Bouncing Back: How Samuel Isaac Overcame Setbacks to Score 265 in JAMB and What He Learned
by samuel olalekan adeyemi
Managing Stress During Exams: Practical Tips for Students
by samuel olalekan adeyemi
