Find dy/dx x^4+y^4=1

Math
Differentiate both sides of the equation.
Differentiate the left side of the equation.
Tap for more steps…
Differentiate.
Tap for more steps…
By the Sum Rule, the derivative of with respect to is .
Differentiate using the Power Rule which states that is where .
Evaluate .
Tap for more steps…
Differentiate using the chain rule, which states that is where and .
Tap for more steps…
To apply the Chain Rule, set as .
Differentiate using the Power Rule which states that is where .
Replace all occurrences of with .
Rewrite as .
Since is constant with respect to , the derivative of with respect to is .
Reform the equation by setting the left side equal to the right side.
Solve for .
Tap for more steps…
Subtract from both sides of the equation.
Divide each term by and simplify.
Tap for more steps…
Divide each term in by .
Simplify .
Tap for more steps…
Cancel the common factor of .
Tap for more steps…
Cancel the common factor.
Rewrite the expression.
Cancel the common factor of .
Tap for more steps…
Cancel the common factor.
Divide by .
Simplify .
Tap for more steps…
Cancel the common factor of and .
Tap for more steps…
Factor out of .
Cancel the common factors.
Tap for more steps…
Factor out of .
Cancel the common factor.
Rewrite the expression.
Move the negative in front of the fraction.
Replace with .
Find dy/dx x^4+y^4=1

Download our
App from the store

Create a High Performed UI/UX Design from a Silicon Valley.

Scroll to top