Implicit differentiation worksheet (with detailed solutions) - Free Printable

Educational worksheet: Implicit differentiation worksheet (with detailed solutions). Download and print for classroom or home learning activities.

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a) $\frac{dy}{dx} = -\frac{x}{y}$

b) $\frac{dy}{dx} = \frac{4}{y}$

c) $\frac{dy}{dx} = -\frac{9x}{y}$

d) $\frac{dy}{dx} = \frac{15x^2 - 1}{3y^2}$

e) $\frac{dy}{dx} = \frac{2x + y}{2y - x}$

f) $\frac{dy}{dx} = \frac{y - x}{y - x} = 1$ (for $y \ne x$)

g) $\frac{dy}{dx} = \frac{-2x - y}{x + 2y}$

h) $\frac{dy}{dx} = \frac{-2x - 4 + 7}{6y - 7} = \frac{-2x + 3}{6y - 7}$

i) $\frac{dy}{dx} = -\frac{x}{7y}$

j) $\frac{dy}{dx} = \frac{-ye^x}{e^x - 5e^y}$

k) $\frac{dy}{dx} = \frac{12x^2 + 2}{4y^3 + 5}$

l) $\frac{dy}{dx} = \frac{y(1 - 3e^{3x}y)}{e^{3x}y - \frac{1}{y}} = \frac{y^2(1 - 3e^{3x}y)}{e^{3x}y^2 - 1}$

Parent Tip: Review the logic above to help your child master the concept of implicit differentiation worksheet.

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