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MATHEMATICS

JAMB 2014 - Question 38

Mathematics 2014 JAMB Past Questions - Question 38: If y=4x³ - 2x² +x,find dy/dx

If y=4x³ - 2x² +x,find dy/dx

A: 12x²-4x+1

B: 8x²-2x+1

C: 8x²-4x+1

D: 12x²-2x+1

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Correct Answer

Explanation

if y = 4xsup3 - 2xsup2 +x,then dy/dx = 3(4xsup2) -2 (2x) +1= 12xsup2 - 4x +1To find the derivative of y = 4x³ - 2x² + x with respect to x (dy/dx), we can apply the power rule and the sum rule of differentiation.The power rule states that if we have a term of the form ax^n, the derivative with respect to x is given by nx^(n-1).Using the power rule, we can find the derivative of each term in the given equation:dy/dx = d/dx (4x³) - d/dx (2x²) + d/dx (x)Applying the power rule to each term, we get:dy/dx = 12x² - 4x + 1Therefore, the derivative of y = 4x³ - 2x² + x with respect to x is dy/dx = 12x² - 4x + 1.