am trying to sort out this problem below;
$\displaystyle (1-x^2)^{a+bx+cx^2}$
this time the function is raise to a quadratic equation.
thanks
Logarithmic differentiation will probably be your best bet here.
Let $\displaystyle y = (1-x^2)^{a+bx+cx^2}$ so that $\displaystyle \ln(y) = (a+bx+cx^2)\ln(1-x^2)$
Expanding the brackets gives: $\displaystyle \ln(y) = a\ln(1-x^2) + bx\ln(1-x^2) + cx^2\ln(1-x^2)$
Now you can use the chain rule (and don't forget the differentiate the LHS too) and the product rules