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What is the antiderivative of 9sinx?
The antiderivative of 9sinx is simply just -9cosx. It is negetive because the derivative of cosx should have been -sinx, however, the derivative provided is positive. Therefore, it means that there should be a negative with cosx in order to make that sinx postive. (negative times negative eguals positive)
What is the anti-derivative of -2cosx?
take out the constant -2 then take the intergral of cosx this will give you sinx your answer is -2sinx
What is the anti derivative of negative sine?
The anti derivative of negative sine is cosine.
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 e negative x?
- e^- X
