Find the Derivative - d/dx 2x^5

Problem

(d(2)*x^5)/d(x)

Solution

1. Identify the constant and the power of the variable in the expression 2*x^5

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

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

4. Multiply the constant 2 by the exponent 5 and subtract 1 from the exponent.

5. Simplify the resulting expression 2⋅5*x^4 to get 10*x^4

Final Answer

(d(2)*x^5)/d(x)=10*x^4

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