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Differentiate the function y = 26 + x - 4x³ -½x^(-4)

dy/dx = 1 - 12x² + 2x^(-5)

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A curve has equation y = 2x^5 + 5x^4 1 . (a) Find: (i) dy/ dx [2 marks] (ii) d^2y/ dx^2 (b) The point on the curve where x ¼ 1 is P. (i) Determine whether y is increasing or decreasing at P, giving a reason for your answer.

Find the derivative of sin^2(x)

Express 3(x^2) - 12x + 5 in the form a(x - b)^2 - c.

differentiate with respect to 'x' : ln(x^2 + 3x + 5)

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