The function $f(x) = 5x^2 - 3x$, $x \ge 1$, is one-to-one and has an inverse function $y = g(x)$. Find an equation of the tangent line to the graph of $g$ at the point $(34, 2)$ on $g$. (Use symbolic notation and fractions where needed. Express equation in terms of $y$ and $x$.)
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To find the derivative, we can use the chain rule. Let's denote the inner function as u = x^3 + x + 1, and the outer function as y = √u. Using the chain rule, the derivative of y with respect to x is given by: dy/dx = (dy/du) * (du/dx) The derivative of the outer Show more…
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