Final answer to the problem
$f\left(x\right)=\sqrt{5}x^{3}-12$
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Step-by-step Solution
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- Write in simplest form
- Solve by quadratic formula (general formula)
- Find the derivative using the definition
- Simplify
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- Find the derivative
- Factor
- Factor by completing the square
- Find the roots
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The power of a product is equal to the product of it's factors raised to the same power
Learn how to solve algebraic expressions problems step by step online.
$f\left(x\right)=\sqrt{5}\sqrt{x^6}-12$
Learn how to solve algebraic expressions problems step by step online. Simplify the expression f(x)=(5x^6)^(1/2)-12. The power of a product is equal to the product of it's factors raised to the same power. Simplify \sqrt{x^6} using the power of a power property: \left(a^m\right)^n=a^{m\cdot n}. In the expression, m equals 6 and n equals \frac{1}{2}. Multiply the fraction and term in 6\cdot \left(\frac{1}{2}\right). Divide 6 by 2.
Final answer to the problem
$f\left(x\right)=\sqrt{5}x^{3}-12$
