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MATHEMATICS

JAMB 2015 - Question 18

Mathematics 2015 JAMB Past Questions - Question 18: If y = x² + √x , find dy/dx.

If y = x² + √x , find dy/dx.

A: 2x-1/2x- ¹/²

B: 2x-x-¹/²

C: 2x+1/2x-¹/²

D: 2x+x¹/²

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Correct Answer

Explanation

y = x² + √x = x² + x1/2 dy/dx = 2x + ½ x -1/2 To find dy/dx for the function y = x² + √x, we need to differentiate each term with respect to x.The derivative of x² with respect to x is 2x.The derivative of √x with respect to x is (1/2)x^(-1/2) or 1/(2√x).So, the derivative of y with respect to x, dy/dx, is:dy/dx = 2x + 1/(2√x)Therefore, dy/dx = 2x + 1/(2√x).