Find the Derivative - d/dx 4x^(3/2)

Problem

d()/d(x)*4*x(3/2)

Solution

1. Identify the constant and the power of x in the expression 4*x(3/2)

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

3. Multiply the constant 4 by the exponent 3/2

4. Subtract 1 from the exponent 3/2 to find the new power.

5. Simplify the resulting expression.

4⋅3/2=6

3/2−1=1/2

Final Answer

(d(4)*x(3/2))/d(x)=6*x(1/2)

Want more problems? Check here!