- #1

danielle36

- 29

- 0

Use logarithmic differentiation to calculate the derivative for the following function:

[tex] y = \sqrt{x}e^{x^{2}} (x^{2} + 1)^{10} [/tex]

[tex] lny = \frac{1}{2}lnx * x^{2}lne * 10ln(x^{2} + 1) [/tex]

(I'm not sure what to do with the deriv of lne^{x^{2}})

[tex] lny = \frac{1}{2} * \frac{1}{x} * [deriv of lne^{x^{2}}] * 10 *\frac{2x}{x^{2} + 1} [/tex]

[tex] lny = \frac{20x}{2x(x^{2} + 10} * [deriv of lne^{x^{2}}] [/tex]