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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
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Is sine a trig function?
Yes, sine is a trig function, it is opposite over hypotenuse.
What is the second derivative of a function's indefinite integral?
well, the second derivative is the derivative of the first derivative. so, the 2nd derivative of a function's indefinite integral is the derivative of the derivative of the function's indefinite integral. the derivative of a function's indefinite integral is the function, so the 2nd derivative of a function's indefinite integral is the derivative of the function.
What is null derivative?
A null derivative occurs when an increasing function does not have a derivative. This is most commonly seen in the question mark function.
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 geometrical meaning for second derivative?
The Geometrical meaning of the second derivative is the curvature of the function. If the function has zero second derivative it is straight or flat.
