sin(3*x) - 3*sin(x)
sin(3*x) - 3*sin(x)
Differentiate term by term:
Let .
The derivative of sine is cosine:
Then, apply the chain rule. Multiply by :
The derivative of a constant times a function is the constant times the derivative of the function.
Apply the power rule: goes to
So, the result is:
The result of the chain rule is:
The derivative of a constant times a function is the constant times the derivative of the function.
The derivative of sine is cosine:
So, the result is:
The result is:
The answer is:
-3*cos(x) + 3*cos(3*x)
3*(-3*sin(3*x) + sin(x))
3*(-9*cos(3*x) + cos(x))