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Implicit differentiation is used when the function you need to differentiate is not in the form y = f(x). For example: y⁴ + 3x² - 10 + 2y² = 4xThe first step is to differe...

First expand the bracket (x-3)² separately to give x² - 6x +9 Next multiply by the 4 outside the brackets to give 4x² -24x +36 Now all the terms have been expanded you can...

3x + 2y = 12 (2) multiply by 4 (To make the x coefficients equal for both equations)
12x + 8y = 48 (3)
(3) - (1)
12y = 36
Divide through by 12
y = 3
Sub y = 3 into eq...

Factorising the left hand side we get x² + x - 6 = (x + 5)(x - 4). Therefore x² + x - 6 = 0 is the same as (x + 5)(x - 4) = 0. If multiplying two quantities equals 0, this means that...

1. In circular motion F = mv²/rPlug numbers in ... 6 = 0.4* v² / 0.6 ... and rearrange for v = plus or minus 3. Velocity is a vector so it doesn't matter which value you take as i...