Find the Derivative - d/dx y=3x^6

Problem

d()/d(x)*3*x6

Solution

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

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

3. Multiply the exponent 6 by the coefficient 3

4. Subtract 1 from the original exponent to find the new exponent.

5. Simplify the resulting expression.

Final Answer

(d(3)*x6)/d(x)=18*x5

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