Let f(x) = x^3 -3x^2 - 1, x greaterthanorequalto 2. Find the value of df^-1/dx a
ID: 2892894 • Letter: L
Question
Let f(x) = x^3 -3x^2 - 1, x greaterthanorequalto 2. Find the value of df^-1/dx at the point x = -1 f(3). Let f(x) = x^2 -4x -5, x > 2. Find the value of df^-1/dx at the point x = 0 = f(5). Suppose that the differentiable function y f(x) has an inverse and that the graph of f passes through the point (2, 4) and has a slope of 1/3 there. Find the value of df^-1/dx at = 4. Suppose that the differentiable function y g(x) has an inverse and that the graph of g passes through the origin with slope Find the slope of the graph of g^-1 at the origin. In Exercises 11-40, find the derivative of y with respect to x, t, or theta, as appropriate. Y = 1n 3x + x y = 1n 3x y = 1n (t^2) y = 1n (t^3) + Squareroot t y = 1n 3x y = 1n (sin x)Explanation / Answer
16) Given y = ln (sinx)
dy/dx = [d(ln sinx) / dx ]. d[sinx]/dx . dx/dx (chain rule of differentiation
= [1/sinx] [ cosx] = cotx
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