If y = 3x\(^2\)(x\(^3\) + 1)\(^{\frac{1}{2}}\). Find \(\frac{\text{dy}}{\text{dx}}\)
At what value of X does the function y = -3 - 2x + X2 attain a minimum value?
If y = x sinx, find \(\frac{dy}{dx}\)
Evaluate \(\int^{2}_{0}(x^3 + x^2)\)dx.
Integrate the expression 6x\(^2\) - 2x + 1
