Find the Derivative - d/d@VAR f(x)=5x^4

Problem

d()/d(x)*5*x4

Solution

1. Identify the function to be differentiated, which is ƒ(x)=5*x4

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

3. Multiply the constant coefficient 5 by the exponent 4

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

5. Simplify the resulting expression.

Final Answer

(d(5)*x4)/d(x)=20*x3

Want more problems? Check here!