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d/dx cosx=-sin x

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βˆ™ 15y ago
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Q: The derivative of cos is equal to?
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When does cos x equal -sin x?

The derivative of cos(x) equals -sin(x); therefore, the anti-derivative of -sin(x) equals cos(x).


Derivative of cosx?

The derivative of cos(x) is negative sin(x). Also, the derivative of sin(x) is cos(x).


What is the 87th derivative of sin x?

Every fourth derivative, you get back to "sin x" - in other words, the 84th derivative of "sin x" is also "sin x". From there, you need to take the derivative 3 more times, getting:85th derivative: cos x86th derivative: -sin x87th derivative: -cos x


What is the derivative of 3cosx?

The derivative of 3cos(x) is -3sin(x). This can be found using the chain rule, which states that the derivative of a composition of functions is the derivative of the outer function evaluated at the inner function, multiplied by the derivative of the inner function. In this case, the derivative of cos(x) is -sin(x), and when multiplied by the constant 3, we get -3sin(x) as the derivative of 3cos(x).


What is the derivative of ln cos x?

The derivative of the natural log is 1/x, therefore the derivative is 1/cos(x). However, since the value of cos(x) is submitted within the natural log we must use the chain rule. Then, we multiply 1/cos(x) by the derivative of cos(x). We get the answer: -sin(x)/cos(x) which can be simplified into -tan(x).


What is the derivative of sinΟ€x?

The derivative with respect to 'x' of sin(pi x) ispi cos(pi x)


What is the Derivative of sine ex?

The derivative of sin (x) is cos (x). It does not work the other way around, though. The derivative of cos (x) is -sin (x).


What is the derivative of cos x sin x divided by cos x sin x?

(cos x sin x) / (cos x sin x) = 1. The derivative of a constant, such as 1, is zero.


What is the second derivitive of sec x?

Write sec x as a function of sines and cosines (in this case, sec x = 1 / cos x). Then use the division formula to take the first derivative. Take the derivative of the first derivative to get the second derivative. Reminder: the derivative of sin x is cos x; the derivative of cos x is - sin x.


What is the derivative of cos 2x?

f'(x)=-sin2x(2) f'(x)=-2sin2x First do the derivative of cos u, which is -sin u. Then because of the chain rule, you have to take the derivative of what's inside and the derivative of 2x is 2.


What is the derivative of negative sinx?

-cos(x)


Why does the derivative of sin x equal - cos x?

It isn't. The derivate of sin x = cos x.It isn't. The derivate of sin x = cos x.It isn't. The derivate of sin x = cos x.It isn't. The derivate of sin x = cos x.