Find the Derivative - d/dx -4x^2

Problem

d()/d(x)−4*x2

Solution

1. Identify the constant and the power of x in the expression −4*x2

2. Apply the constant multiple rule, which states that d()/d(x)*[c*ƒ(x)]=cd(ƒ(x))/d(x)

3. Apply the power rule, which states that d(xn)/d(x)=n*x(n−1)

4. Multiply the constant −4 by the result of the power rule.

(d(−)*4*x2)/d(x)=−4⋅2*x(2−1)

5. Simplify the exponent and the coefficients.

(d(−)*4*x2)/d(x)=−8*x

Final Answer

(d(−)*4*x2)/d(x)=−8*x

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