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∫ -cos(x) dx = -sin(x) + C
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What is the anti derivative of -x?
-(1/2)X^2 [negative half X squared]
Why do cosine to the negative 1th power and cosine cancel out each other?
Cosine to the negative first power and cosine cancel each other out because cosine to the negative first power is one over cosine, and one over anything times anything is just one.
Why are cosines positive and negative?
Because the cosine of some angles is positive and the cosine of some other angles is negative.
What are the Differentiate the sine wave and cosine wave?
The differential of the sine function is the cosine function while the differential of the cosine function is the negative of the sine function.
What is the difference between integration and anti-derivatives?
An integral and an anti-derivative are the same thing. Integration means the process of finding the integral, just as anti-differentiation means the process of finding the anti-derivative.
What is the anti derivative of negative sine?
The anti derivative of negative sine is cosine.
What is the derivative of negative cosine?
The derivative of negative cosine is positive sine.
How do you differentiate a cosine function That is what is the derivative of the cosine of x with respect to the independent variable x?
The derivative of cosine of x is simply the negative sine of x. In mathematical terms f'(x) = d/dx[cos(x)] = -sin(x)
What is the Derivative of sin?
Generally, the derivative of sine is cosine.
What is the anti derivative of -x?
-(1/2)X^2 [negative half X squared]
Why do cosine to the negative 1th power and cosine cancel out each other?
Cosine to the negative first power and cosine cancel each other out because cosine to the negative first power is one over cosine, and one over anything times anything is just one.
What is the anti-derivative of secant squared?
negative cotangent -- dcot(x)/dx=-csc^2(x)
What happen sinx when you find its derivative?
The deriviative of sine(x) is cosine(x).
Why are cosines positive and negative?
Because the cosine of some angles is positive and the cosine of some other angles is negative.
Which angle has a negative sine and a positive cosine?
All the angles in 4th quadrant have positive cosine and negative sine e.g. 280,290,300,310...etc.
What is the anti-derivative of 0.003x?
.0015x2
What is cosine to the negative first power?
[ cos(Θ) ]-1 = 1/cosine(Θ) = secant(Θ)
