Find the $\frac{\mathrm{d}y}{\mathrm{d}x}$ of the following functions in terms of $x$ and $y$:

Question

Find the $\frac{\mathrm{d}y}{\mathrm{d}x}$ of the following functions in terms of $x$ and $y$: $4xy - 3y^{4} = \cos y$ $3\tan y + xy = y^{5}$ $\cos (xy^{2}) + \ln (x + y) = 4$

Accepted Answer

(i) $-\frac{4y}{4x+\sin y-12y^3}$ (ii) $\frac{y}{5y^4-3\sec^2y-x}$ (iii) $\frac{y^2(x+y)\sin(xy^2)-1}{1-2xy(x+y)\sin(xy^2)}$

Techniques of Differentiation - Implicit Differentiation

Techniques of Differentiation - Implicit Differentiation

Video Solution:

Solution:

Solution locked