Find the Derivative - d/dx y=3x^2-4x

Problem

d()/d(x)*(3*x2−4*x)

Solution

1. Identify the expression to be differentiated, which is a polynomial consisting of two terms: 3*x2 and −4*x

2. Apply the sum rule for derivatives, which states that the derivative of a sum is the sum of the derivatives.

3. Apply the power rule to the first term, 3*x2 by multiplying the coefficient by the exponent and decreasing the exponent by one.

4. Apply the power rule to the second term, −4*x noting that the derivative of x is 1

5. Simplify the resulting expression to find the final derivative.

Final Answer

(d(3)*x2−4*x)/d(x)=6*x−4

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