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.

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

A: Topic = Derivative

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Q: Find the derivatives of the function f(x) from the first principle x*+4

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Q: 5e* Find the derivative of f (x) Зех+1

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A: We use first derivative devide rule and differentiate of y . Here i provide full solution of this…

Q: C) Find the derivative of y= (1+ x²)*

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Q: a) A function is given below with unknown coefficients B and C: f(x) = x³ - 6x² + Bx + C i) Find the…

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