Find the gradient of each of the following curve at the given point. $2x^{3}y - \ln y = 2x^{5}$ at

Question

Find the gradient of each of the following curve at the given point. $2x^{3}y - \ln y = 2x^{5}$ at $(1, 1)$ $\cos (x - y) = \frac{3\sqrt{3}}{2\pi}x$ at $\left( \frac{\pi}{3}, \frac{\pi}{2} \right)$ $xy - y = \ln (2y + 1)$ when $y = 1$

Accepted Answer

(i) $4$ (ii) $1-\frac{3\sqrt3}{\pi}$ (iii) $\frac3{2-3\ln3}$

Techniques of Differentiation - Implicit Differentiation

Techniques of Differentiation - Implicit Differentiation

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