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Answered by Ertug A. • Maths tutor

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The curve y = 2x^3 -ax^2 +8x+2 passes through the point B where x = 4. Given that B is a stationary point of the curve, find the value of the constant a.

Given the function y = x^5 + x^3/2 + x + 7 Express the following in their simplest forms: i) dy/dx ii) ∫ y dx

Use the chain rule to show that, if y = sec(x), then dy/dx = sec(x)tan(x).

Integrate: xe^x

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