(d/dx) -sin(x)
To find the derivative of -sin(x) with respect to x, we can use the chain rule
To find the derivative of -sin(x) with respect to x, we can use the chain rule. The chain rule states that if we have a composite function, we need to multiply the derivative of the outer function with the derivative of the inner function.
In this case, the outer function is -sin(x) and the inner function is x.
First, let’s find the derivative of the outer function, d/dx (-sin(x)):
The derivative of the sine function is the cosine function, so d/dx (sin(x)) = cos(x).
Since we have a negative sign in front of sin(x), the derivative of -sin(x) will be -cos(x).
Therefore, the derivative of -sin(x) with respect to x is -cos(x).
So, (d/dx) -sin(x) = -cos(x).
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