I need help finding the derivative of
100P^-2
I know that 100P^2 would be 200P, but the -2 is throwing me off. Could someone help me out here? Thanks.
exactly the same
multiply the the coeffecient by exponent and subtract one from the exponent.
-200 P ^-3
Oh, okay. I got it. Thanks!
Ok, now I have to use the derivative and solve for P. So, the equation is:
4 = -200P^-3
I can get it down to:
-50 = P^-3
But, I don't know how to get the -3 away from the P.
Check your work above. There is an error in the value on the left side. Fix that before the next step.
To find the derivative of 100P^(-2), we can use the power rule for differentiation. The power rule states that if we have a function of the form f(x) = cx^n, where c is a constant and n is any real number, then the derivative of f(x) is f'(x) = c*n*x^(n-1).
In this case, we have f(P) = 100P^(-2). To find the derivative, we can use the power rule with n = -2. Taking the constant 100 and multiplying it by -2, we get -200. Then, we subtract 1 from the exponent, giving us -2 - 1 = -3. Finally, we raise P to the power of -3.
Therefore, the derivative of 100P^(-2) is -200P^(-3).