Find the Derivative - d/dx f(x)=8x

Problem

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

Solution

1. Identify the function to be differentiated, which is ƒ(x)=8*x

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

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

4. Calculate the derivative by treating x as x1

(d(8)*x)/d(x)=8⋅1*x(1−1)

5. Simplify the expression by evaluating the exponent.

8⋅x0=8⋅1=8

Final Answer

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

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