57
27
-6
-54
Correct answer is D
y = (1 - 2x)\(^3\)
let u = 1-2x
du/dx = -2
∴y = u\(^3\)
dy/du = 3u\(^2\)
But dy/dx = du/dx * dy/du
= -2 * 3u\(^2\)
= -6u\(^2\)
= -6(1-2x)\(^2\)
At x = -1: dy/dx = -6(1 - 2(-1))\(^2\)
dy/dx = -6(1 + 2)\(^2\)
= -6 * 3\(^2\)
= -6 * 9
= -54
P(-6, 1) and Q(6, 6) are the two ends of the diameter of a given circle. Calculate the radius. ...
If a = 1, b = 3, solve for x in the equation \(\frac{a}{a - x}\) = \(\frac{b}{x - b}\)...
If F = \(\frac{9}{5}\)C + 32, find C when F = 98.6...
Simplify \(\frac{1}{1 + \sqrt{5}}\) - \(\frac{1}{1 - \sqrt{5}}\)...
Interprete the inequality represented on the number line ...
If Cos \(\theta\) = \(\frac{12}{13}\). Find \(\theta\) + cos2\(\theta\)...
If the volume of a cube is (8 x 103)cm\(^3\), what is the surface area the cube?...
Solve the simultaneous equations x + y = 2 and 3x - 2y = 1 ...