Solve for d (dy)/(dx)=x square root of 1-y^2

Factor each term.
Reduce the expression by cancelling the common factors.
Cancel the common factor.
Rewrite the expression.
Rewrite as .
Since both terms are perfect squares, factor using the difference of squares formula, where and .
Since the variable is in the denominator on the left side of the equation, this can be solved as a ratio. For example, is equivalent to .
Solve for .
Multiply each term by and simplify.
Multiply each term in by .
Cancel the common factor of .
Factor out of .
Cancel the common factor.
Rewrite the expression.
Since the radical is on the right side of the equation, switch the sides so it is on the left side of the equation.
To remove the radical on the left side of the equation, square both sides of the equation.
Simplify each side of the equation.
Expand using the FOIL Method.
Apply the distributive property.
Apply the distributive property.
Apply the distributive property.
Simplify and combine like terms.
Simplify each term.
Multiply by .
Multiply by .
Multiply by .
Rewrite using the commutative property of multiplication.
Multiply by by adding the exponents.
Move .
Multiply by .
Apply the product rule to .
Multiply the exponents in .
Apply the power rule and multiply exponents, .
Cancel the common factor of .
Cancel the common factor.
Rewrite the expression.
Simplify.
Apply the distributive property.
Multiply by .
Rewrite using the commutative property of multiplication.
Apply the product rule to .
Solve for .
Subtract from both sides of the equation.
Find the LCD of the terms in the equation.
Finding the LCD of a list of values is the same as finding the LCM of the denominators of those values.
Since contain both numbers and variables, there are two steps to find the LCM. Find LCM for the numeric part then find LCM for the variable part .
The LCM is the smallest positive number that all of the numbers divide into evenly.
1. List the prime factors of each number.
2. Multiply each factor the greatest number of times it occurs in either number.
The number is not a prime number because it only has one positive factor, which is itself.
Not prime
The LCM of is the result of multiplying all prime factors the greatest number of times they occur in either number.
The factors for are , which is multiplied by each other times.
occurs times.
The LCM of is the result of multiplying all prime factors the greatest number of times they occur in either term.
Multiply by .
Multiply each term by and simplify.
Multiply each term in by in order to remove all the denominators from the equation.
Simplify each term.
Multiply by by adding the exponents.
Use the power rule to combine exponents.
Multiply by by adding the exponents.
Move .
Use the power rule to combine exponents.
Cancel the common factor of .
Move the leading negative in into the numerator.
Cancel the common factor.
Rewrite the expression.
Multiply by .
Solve the equation.
Subtract from both sides of the equation.
Factor out of .
Factor out of .
Factor out of .
Factor out of .
Divide each term by and simplify.
Divide each term in by .
Cancel the common factor of .
Cancel the common factor.
Divide by .
Simplify .
Move the negative in front of the fraction.
Factor out of .
Rewrite as .
Factor out of .
Simplify the expression.
Rewrite as .
Move the negative in front of the fraction.
Multiply by .
Multiply by .
Take the square root of both sides of the equation to eliminate the exponent on the left side.
The complete solution is the result of both the positive and negative portions of the solution.
Simplify the right side of the equation.
Apply the product rule to .
Multiply the exponents in .
Apply the power rule and multiply exponents, .
Cancel the common factor of .
Factor out of .
Cancel the common factor.
Rewrite the expression.
The complete solution is the result of both the positive and negative portions of the solution.
First, use the positive value of the to find the first solution.
Next, use the negative value of the to find the second solution.
The complete solution is the result of both the positive and negative portions of the solution.
Solve for d (dy)/(dx)=x square root of 1-y^2