3x055x05Solution We have given the derivative as fx 3x05 5

Solution

We have given the derivative as f(x) = 3x^0.5 + 5x - 0.5 We need to apply the power rule to find the derivative of the given function. Power rule: d/dx(x^n) = n*x^(n-1) We know that derivative of the constant value = 0 Applying that We will get f\'(x) = 3*(0.5)*x^(0.5 - 1) + 5 - 0 f\'(x) = 1.5x^(-0.5) + 5 or, f\'(x) = (3/2)*1/x^(0.5) + 5 Hope this will help you!