Answered

Join the growing community of curious minds on IDNLearn.com. Discover in-depth answers from knowledgeable professionals, providing you with the information you need.

find the first derivative of x^2+y^2=25​

Sagot :

Answer:

[tex]\frac{dy}{dx}=-\frac{x}{y}[/tex]

Step-by-step explanation:

Use implicit differentiation:

[tex]x^2+y^2=25\\\\2x+2y\frac{dy}{dx}=0\\ \\2y\frac{dy}{dx}=-2x\\ \\\frac{dy}{dx}=-\frac{x}{y}[/tex]

Remember to treat "y" as a constant in implicit differentiation and include dy/dx.

Your presence in our community is highly appreciated. Keep sharing your insights and solutions. Together, we can build a rich and valuable knowledge resource for everyone. IDNLearn.com is your source for precise answers. Thank you for visiting, and we look forward to helping you again soon.