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Why do take derivative?

Updated: 12/16/2022
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14y ago

Best Answer

To find rate of change.

Two common examples are:

rate of change in position = velocity and rate of change of velocity = acceleration.

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14y ago
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Q: Why do take derivative?
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How do you find second derivative of a function?

All it means to take the second derivative is to take the derivative of a function twice. For example, say you start with the function y=x2+2x The first derivative would be 2x+2 But when you take the derivative the first derivative you get the second derivative which would be 2


How do you find the second derivative?

Afetr you take the first derivative you take it again Example y = x^2 dy/dx = 2x ( first derivative) d2y/dx2 = 2 ( second derivative)


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The idea is to use the addition/subtraction property. In other words, take the derivative of 5x, take the derivative of 1, and subtract the results.


How do you take the derivative of a trig function?

Trig functions have their own special derivatives that you will have to memorize. For instance: the derivative of sinx is cosx. The derivative of cosx is -sinx The derivative of tanx is sec2x The derivative of cscx is -cscxcotx The derivative of secx is secxtanx The derivative of cotx is -csc2x


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.


How do you get the second derivative of potential energy?

The same way you get the second derivative from any function. Assuming you have a function that expresses potential energy as a function of time, or perhaps as a function of position, you take the derivate of this function. This will give you another function. Then, you take the derivate of this derivative, to get the second derivative.


How would you take the derivative of...?

How do I take the derivative of... (58+Rpi)(500000/pi)(r^-1)+19*pi*r^2 where R is a constant


What is the derivative of 5secx?

You can take out any constant from a derivative. In other words, this is the same as 5 times the derivative of sec x.


What is the derivative of x-cosx?

Take the derivative term by term. d/dx(X - cosX) = sin(X) ======


What is the derivative of e2x-1?

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How do you find the slope of a tangent?

Take the derivative of the function.


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.