Partial Derivative (dt) and Solving Equations: Expert Advice

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any advice on how to sovle this equation would be very much appreciated:

F(x,t)=cos(0.1t)*sin(3t*2x)

dF/dt=?
 
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Kirby77 said:
any advice on how to sovle this equation would be very much appreciated:

F(x,t)=cos(0.1t)*sin(3t*2x)

dF/dt=?

You're really asking how to get
\frac{\partial F}{\partial t}
right?
 
There are two things I don't understand about this problem. First, when finding the nth root of a number, there should in theory be n solutions. However, the formula produces n+1 roots. Here is how. The first root is simply ##\left(r\right)^{\left(\frac{1}{n}\right)}##. Then you multiply this first root by n additional expressions given by the formula, as you go through k=0,1,...n-1. So you end up with n+1 roots, which cannot be correct. Let me illustrate what I mean. For this...
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