sin(3*x) - cos(2*x)
sin(3*x) - cos(2*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.
Let .
The derivative of cosine is negative sine:
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:
So, the result is:
The result is:
The answer is:
2*sin(2*x) + 3*cos(3*x)
-9*sin(3*x) + 4*cos(2*x)
-(8*sin(2*x) + 27*cos(3*x))