# How do you use implicit differentiation to find dy/dx given #x^2+y^2+3x-4y=9#?

By signing up, you agree to our Terms of Service and Privacy Policy

To find ( \frac{dy}{dx} ) using implicit differentiation with the equation ( x^2 + y^2 + 3x - 4y = 9 ), follow these steps:

- Differentiate both sides of the equation with respect to ( x ).
- Apply the chain rule whenever you differentiate terms that involve ( y ).
- After differentiation, solve the resulting equation for ( \frac{dy}{dx} ).

The process involves several steps of calculus, including the chain rule and implicit differentiation techniques. Once you've differentiated both sides, isolate ( \frac{dy}{dx} ) to find the derivative.

By signing up, you agree to our Terms of Service and Privacy Policy

- How do you differentiate #v=(sqrtx+1/root3x)^2#?
- How do you find the derivative of #sqrt(x^2+1)#?
- How do you find the derivative of #f(x)=(1/x^2)#?
- How do you implicitly differentiate #-y=xy-e^ysqrt(x-2) #?
- How do you use implicit differentiation to find the slope of the curve given #1/x^3+1/y^3=2# at (2,2)?

- 98% accuracy study help
- Covers math, physics, chemistry, biology, and more
- Step-by-step, in-depth guides
- Readily available 24/7