Find the derivation of ex lnx2 4-x find the slop of the

Question

1) Find the derivation of e^x ln(x²) + 4^-x.

2) Find the slop of the curve 2(x+y)^2/3 = y at the point (4, 4).

3) Find the second derivative y'' of x² + y² = 10.

4) Compute the limit-

limh→0((3+h)^3+h - 27/h)

5) Use logarithmic differentiation to find the derivative

(x+1)^3/2(x-4)^5/2tan¹⁰(x)/(5x+3)^2/3