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What is the Derivative of sin?
Generally, the derivative of sine is cosine.
What is the anti-derivative of 0.003x?
.0015x2
What is the anti derivative of 5x?
2.5x2 + any constant
What is the derivative of negative sinx?
-cos(x)
Why the second derivative negative for Maxima?
When you solve for the 2nd derivative, you are determining whether the function is concave up/down. If you calculated that the 2nd derivative is negative, the function is concave down, which means you have a relative/absolute maximum, given that the 1st derivative equals 0. To understand why this is, think about the definition of the 2nd derivative. It is a measure of the rate of change of the gradient. At a maximum, the gradient starts positive, becomes 0 at the maximum itself and then becomes negative, so it is decreasing. If the gradient is going down, then its rate of change, the 2nd derivative, must be negative.
What is the derivative of negative cosine?
The derivative of negative cosine is positive sine.
What is the derivative of sine of pi?
y = Sin(pi) = 0 Then its derivative is dy/dx = Cos(pi). = -1
What is the Derivative of sin?
Generally, the derivative of sine is cosine.
What is the anti derivative of negative cosine?
∫ -cos(x) dx = -sin(x) + C
What is the anti derivative of -x?
-(1/2)X^2 [negative half X squared]
What is the anti-derivative of secant squared?
negative cotangent -- dcot(x)/dx=-csc^2(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).
If sin is negative that make cosecant negative as well?
Yes: cosecant = 1/sine If sine negative, 1/sine is negative → cosecant is negative.
What happen sinx when you find its derivative?
The deriviative of sine(x) is cosine(x).
What is the anti-derivative of 0.003x?
.0015x2
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 difference between negative sine and cosine graphs and positive sine and cosine graphs?
The negative sine graph and the positive sine graph have opposite signs: when one is negative, the other is positive - by exactly the same amount. The sine function is said to be an odd function. The two graphs for cosine are the same. The cosine function is said to be even.
