Find the Derivative - d/dx y=3sin(2x)

Problem

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

Solution

1. Identify the function as a composition of functions, which requires the use of the chain rule.

2. Apply the constant multiple rule by moving the constant 3 outside of the derivative.

3⋅d(sin(2*x))/d(x)

3. Apply the chain rule by taking the derivative of the outer function sin(u) and multiplying it by the derivative of the inner function 2*x

3⋅cos(2*x)⋅(d(2)*x)/d(x)

4. Differentiate the inner function 2*x with respect to x which results in 2

3⋅cos(2*x)⋅2

5. Simplify the expression by multiplying the constants 3 and 2

6*cos(2*x)

Final Answer

d()/d(x)*3*sin(2*x)=6*cos(2*x)

Want more problems? Check here!