Final answer to the problem
$y=\left(2\left(\left(x-\frac{1}{4}\right)^2+\frac{1}{2}-\frac{1}{16}\right)\right)^4$
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Step-by-step Solution
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- Differential
- Find the derivative
- Find the integral
- Find the derivative using the definition
- Solve by quadratic formula (general formula)
- Simplify
- Find the integral
- Find the derivative
- Factor
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1
Use the complete the square method to factor the trinomial of the form $ax^2+bx+c$. Take common factor $a$ ($2$) to all terms
Learn how to solve completing the square problems step by step online.
$y=\left(2\left(x^2-\frac{1}{2}x+\frac{1}{2}\right)\right)^4$
Learn how to solve completing the square problems step by step online. Solve the equation y=(1-x2x^2)^4. Use the complete the square method to factor the trinomial of the form ax^2+bx+c. Take common factor a (2) to all terms. Add and subtract \displaystyle\left(\frac{b}{2a}\right)^2. Factor the perfect square trinomial x^2+-\frac{1}{2}x+\frac{1}{16}. Multiply the fraction and term in - \frac{1}{4}.
Final answer to the problem
$y=\left(2\left(\left(x-\frac{1}{4}\right)^2+\frac{1}{2}-\frac{1}{16}\right)\right)^4$
