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If I were to get the job, I would get a writing board to help explain this. But to approach this question, it's a good idea to draw the graph. You know that the tangent line is a straight line and as the ...

y = (2e-6)x + 6

The chain rule is the technique used for differentiation when the equation you're trying to differentiate contains a function of a function. Consider ln(x). You should know this differentiates to 1/x. If ...

Take the example f(x)=(2x^2+1)/(3x+5) , where we're finding the gradient at x=0. First, you need to differentiate f(x) to get f'(x). Because f(x) is a fraction where both the numerator and denominator are...

Firstly you have to find the turning points of the graph. This is done by differentiating the equation of the line. Once you have found this first derivative, equate the equation to zero. Now solve the eq...