The curve with equation y=f(x)y = f(x)y=f(x) passes through the point (1,6)(1, 6)(1,6). Given that
f′(x)=3+5x2+2x12,x>0, f'(x) = 3 + \frac{5x^2 + 2}{x^{\frac{1}{2}}}, \quad x > 0, f′(x)=3+x215x2+2,x>0,find f(x)f(x)f(x) and simplify your answer.
Practise Edexcel A Level Old Maths Differentiation and Integration 1 with exam-style questions for A Level Old Maths. 19 questions, matched to the Edexcel A Level Old Maths (9371) specification and written in Unit exams C1, C2, C3 and C4 plus two applied units (e.g. S1 and M1) style. Every question includes a full worked solution and mark scheme, so you can see where marks are awarded rather than just whether you got the answer right.