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After t seconds the distance between the bottom of the ladder and the wall is t metres. Let x denote the distance that the top of the ladder has moved after t seconds. Now use the theorem of Pythagoras to...

Given y = 2x(x² – 1)⁵, show that
(a) dy/dx = g(x)(x² – 1)⁴ where g(x) is a function to be de...

Step 1: simplify the question using the law cos²x + sin²x = 1 /// Step 2: add the numbers /// Step 3: integrate cosx (remember the differentiation/integration circle sin --&g...