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Find the derivative

1. For each of the following functions, find the derivative. Uu at a. 10!) = (1 – 3z) + it sin(4-z)b. 90:) = tan6 2x c. h(z) = x! 1 + 3222 d. y = 25in (215) e. y=ln(x3-3×2+5) 2. Consider the hyperbole with equation x2  322 = 1.a. Graph the hyperbole. There are two points on this curve where x = J37. Find their(1:, y) coordinates. (5 pts)b. Pick the point from part a) with positive ycoordinate, and find an equation of theline tangent to the hyperbola at this point. (10 pts)3. Use implicit differentiation to ?nd the derivative of y with respect to x ifx2 + :vczy2 + y3 = . (10 pts] 4. Use logarithmic differentiation to determine f ‘(x) if f(x) = 1%(10 pts}

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