Find the Derivative - d/dx y=8x^2

Problem

d()/d(x)*8*x2

Solution

1. Identify the function to be differentiated, which is a power function multiplied by a constant coefficient.

2. Apply the constant multiple rule, which states that the derivative of c⋅ƒ(x) is c⋅ƒ(x)′

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

4. Multiply the constant 8 by the exponent 2 and subtract 1 from the exponent.

5. Simplify the resulting expression.

Final Answer

(d(8)*x2)/d(x)=16*x

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