Find the Derivative - d/d@VAR f(x)=3x^4

Problem

d()/d(x)*3*x4

Solution

1. Identify the function to be differentiated, which is ƒ(x)=3*x4

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

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

4. Multiply the constant coefficient by the exponent and decrease the exponent by one.

3⋅4*x(4−1)

5. Simplify the resulting expression.

12*x3

Final Answer

(d(3)*x4)/d(x)=12*x3

Want more problems? Check here!