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Write out the product rule: if y=f(x)g(x) where f and g are functions, dy/dx = f'(x)g(x) + f(x)g'(x)
Substitute in the expressions from the question:Therefore if f(x)=cos(3x) and g(x) = cosec(5x), f'...

start of by expanding the braquet which has got a power(x + 2y) (x + 2y) = X² + 2xy + 2xy + 4Y²then simplify that => x² + 4xy + 4y²then multiply that by (x -...

First thing you would do is write down the coordinates where the tangent meets the curve. After that you would differenciate the equation (f(x)) of the curve (do dy/dx) in order to get f'(x).Then you woul...

We can denote the sides of the rectangle with a and b. As one side of the separated area is going to be the wall of the house, we do not have to use a fence there. Therefore, we will have two sides, one ...

Transcription begins with DNA helicase unwinding the DNA into two seperate strands.As the DNA unwinds, RNA nucleotides form hydrogen bonds with their complementary base pairs. Uracil binds to adenine, and...