d/dx cosx
To find the derivative of cos(x) with respect to x, we can use the chain rule
To find the derivative of cos(x) with respect to x, we can use the chain rule.
Let’s start by recalling the derivative of sin(x), which is cos(x).
Now, consider the function cos(u), where u = x. Applying the chain rule, we have:
d/dx cos(u) = d/du cos(u) * du/dx
Since u = x, we can rewrite the equation as:
d/dx cos(x) = d/du cos(u) * du/dx
The derivative of cos(u) with respect to u is -sin(u), so we have:
d/dx cos(x) = -sin(u) * du/dx
Since u = x, the derivative of u with respect to x is simply 1, so du/dx = 1.
Substituting these values back into the equation, we get:
d/dx cos(x) = -sin(u) * 1
Therefore, the derivative of cos(x) with respect to x is:
d/dx cos(x) = -sin(x)
More Answers:
Derivative of f(x) = tan(x) | Understanding and Applying the Quotient RuleHow to Find the Derivative of sec(x) with Respect to x
Mastering the Derivative of Cot(x) | A Step-by-Step Guide
Error 403 The request cannot be completed because you have exceeded your quota. : quotaExceeded