I need help for this problem so that i can understand the next example problem. Thank you

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4. For each of the following functions, find the derivative. Use the derivative rules youlearned as needed. (9 pts each) f(z) = (1 — 32)‘11 + Jrsin(4-z)g(x) = tan6 2x h(z) = V 1 + 3222 y = 23in (Zx—S)y=1n(x8—3×2+5) {Den 9′? Consider the hyperbola with equation x2 — y2 = 1.a. Graph the hyperbola. There are two points on this curve where x = J? Find their (x, 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) Use implicit differentiation to find the derivative of y with respect to x ifx2 + x2312 + y3 = 3. (10 pts) 2 _Use logarithmic differentiation to determine f’(x) if f(X) = 3 ’0:ng(10 pts)

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