Differentiate f(x) = (3x + 5)(4x - 7)
A good way to approach this question is to first expand the brackets . This gives 12x2 - 21x + 20x - 35 (remember to take the negative seven into account). We can then simplify this to give 12x2 - x - 35 . Finally, we use the standard rules for differentiation to give f'(x) = 24x - 1
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A curve C has equation: y = x^2 − 2x − 24x^1/2, x > 0; Find (i) dy/dx (ii) d^2y/dx^2