Question

Differentiate the function. y=√x² +12. dy/dx =

Answer 1

`\displaystyle (dy)/(dx)=(x)/(√(x^2+12))`

Explanation:

`\displaystyle y=√(x^2+12)\\\\(dy)/(dx)=(x^2+12)'\cdot(1)/(2√(x^2+12))\\\\(dy)/(dx)=(2x)/(2√(x^2+12))\\\\(dy)/(dx)=(x)/(√(x^2+12))`

Remember to use chain rule!