Find the directional derivative at the given point at the indicated direction
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(24) \(f(x, y) = x^3y^4 - x^4y^3\) at \((1, 1)\) in the direction \(\theta = \frac{\pi}{6}\)
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(25) \(f(x,y) = e^x \sin y\) at \((0,0)\) in the direction \(\theta = \frac{\pi}{4}\)
(26) \(f(x,y) = e^x \sin y\) at \((0, \frac{\pi}{3})\) in the direction \(\vec{v} = < -6, 8 >\)
(27) \(f(x,y,z) = \sqrt{xyz}\) at \((3, 2, 6)\) in the direction \(\vec{v} = < -1, -2, 2 >\)
(28) The temperature near the origin is given by \(T(x, y) = 23 + e^y \sin x\) measured i
