Given that , find an expression for in terms of and…

MATHEMATICS · Multi-part · AP · Calculus AB · Differentiation: Composite, Implicit, and Inverse Functions · Differentiation: Composite, Implicit, and Inverse Functions

Problem

1. Given that

x^2 - 3y^3 = 20

, find an expression for

\frac{dy}{dx}

in terms of

x

and

y

. (1) Given that

x^2 - 3y^3 = 20

, find an expression for

\frac{dy}{dx}

in terms of

x

and

y

. (2) Find the gradient of the curve with equation

x \sin y + y \cos x = \frac{\pi}{2}

at the point

\left(0, \frac{\pi}{2}\right)

Related theory

Advanced Differentiation
Implicit and Parametric Differentiation
Derivatives of implicit functions
Continuity and Differentiability

Browse the problem library