If y = (1 - 2x)2, find the value of dy/dx at x = -1

Assessment: JAMB UTME - Mathematics - 2005 Subject: General Mathematics

Question 1 Report

If y = (1 - 2x)2, find the value of dy/dx at x = -1
Answer Details
To find the derivative of y with respect to x, we need to apply the chain rule and power rule of differentiation. First, we take the derivative of the outer function, which is squaring the quantity (1-2x). This gives us: 2(1-2x) Then, we multiply this result by the derivative of the inner function (1-2x). This gives us: 2(1-2x)(-2) Combining these results, we have: dy/dx = 2(1-2x)(-2) To find the value of dy/dx at x=-1, we substitute -1 for x in the expression above: dy/dx = 2(1-2(-1))(-2) = -54 Therefore, the answer is -54.
Read lesson note on Differentiation (JAMB)
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