Calculus, 2ADV C1 EQ-Bank 4 MC The derivative of \(n x^{2n+1}\) can be expressed as \(2 n^2 x^{2 n+1}\) \(2 n^2 x^{2 n}\) \((2 n+1) n x^{2 n}\) \((2 n+1) n x^{2 n+1}\) Show Answers Only \(C\) Show Worked Solution \(y\) \(=n x^{2n+1}\) \(y^{′}\) \(=(2 n+1) n x^{2n+1-1}\) \(=(2 n+1) n x^{2 n}\) \(\Rightarrow C\)
Calculus, 2ADV C1 2004 HSC 1b Differentiate `x^4 + 5x^(−1)` with respect to `x`. (2 marks) Show Answers Only `4x^3 – 5x^(-2)` Show Worked Solution `y` `= x^4 + 5x^(-1)` `dy/dx` `= 4x^3 – 5x^(-2)`