If a function y(x) can be expressed as the ratio cg(x) + G(x) cf(x) + F(x) y = where c is a constant and g, G, ƒ and F are differentiable functions of x, by eliminating the constant c from this equation and its first derivative, show that y satisfies a Riccati equation.

Q: Is the function f(2) = -2(xy+x)+i(x² – 2y – y) differentiable? If it is, find it's derivative.

A: Consider the given function.

Q: Write down the equation of any function g(x) for which the derivative does not exist at x =2.

A: Topic = Derivative

Q: The derivative of the function - is equal to e Select one: a. a(2º In 2 + 1) b. e" (2ª In 2) c. e"…

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Q: 4) Find the derivative of f(x) = (5x² - 3)² in two different ways.

A:

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A: Product rule: If we are given a function of the form: f(x)·g(x), we can find the derivative of this…

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