Find the gradient function of the following curves from the first principles. $y={{x}^{3}}$ \(y=3{

Question

Find the gradient function of the following curves from the first principles. $y={{x}^{3}}$ $y=3{{x}^{2}}$ $y={{\left( x+1 \right)}^{2}}$ $y=\frac{1}{x}$

Accepted Answer

(i) $3x^2$ (ii) $6x$ (iii) $2x+2$ (iv) $-\frac1{x^2}$, $x\ne0$

Techniques of Differentiation - Differentiation by First Principles

Techniques of Differentiation - Differentiation by First Principles

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