find the derivative of an equation

Question

can you please help me find the derivative of x^2+(y-5)=25

Answer 1

This problem is similar to yours, see if you can find the pattern for determining the derivative.

 

x^3 + y -4 = 20  

 

⇒ x^3 + y = 24

 

The derivative of x^3 is 3x^2 (bring the exponent out in front and subtract 1 from the same exponent).

The derivative of y is 1, (y=y^1, again bring the exponent out in front and subtract 1 from the same exponent.  *y^0=1.

The derivative of 24 is 0.  The derivative of a plain number that doesn't have a variable attached is 0.

Answer:  3x^2 + 1 is the derivative.  

 

Apply this procedure to your problem now.  Send me a question if you have any.  Good luck!