Find the Derivative - d/dx 6x-1

Problem

d()/d(x)*(6*x−1)

Solution

1. Identify the expression as a linear function of the form ƒ(x)=a*x+b

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

d()/d(x)*(6*x−1)=(d(6)*x)/d(x)−d(1)/d(x)

3. Apply the power rule to the first term, where d(xn)/d(x)=n*x(n−1) For 6*x1 the derivative is 6*(1)*x0 which simplifies to 6

(d(6)*x)/d(x)=6

4. Apply the constant rule to the second term, which states that the derivative of any constant is 0

d(1)/d(x)=0

5. Combine the results to find the final derivative.

6−0=6

Final Answer

d()/d(x)*(6*x−1)=6

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