Finding the Derivative Using Quotient Rule

The Quotient Rule represents a technique in calculus, used to identify the derivative of a fraction. If you are dealing with a function that is the quotient of two distinct functions, expressed as f(x) = g(x) / h(x), the derivative can be determined by employing the quotient rule: [h(x) * g'(x) - g(x) * h'(x)] / [h(x)]^2.

The problems about Finding the Derivative Using Quotient Rule

Topic	Problem	Solution
None	Let $p$ and $q$ be piecewise linear functions giv…	Given that $r (x) = \frac{q (x)}{p (x)}$ , we can use the quotient rule to find the derivative. The quo…
None	Find the slope of the secant line between the val…	Given the function $f (x) = \frac{4 x + 3}{5 x + 5}$ and the points $x_{1} = 6$ and $x_{2} = - 10$
None	Calculate $\frac{d y}{d x}$ . You need not expand …	Given the function $y = \frac{7 x^{2} - 9 x + 13}{2 x + 4}$ , we are asked to find the derivative of this …
None	Find $f_{x}$ and $f_{y}$ for $f(x, y)=\frac{4 x}{…	Given the function $f (x, y) = \frac{4 x}{9 y} - \frac{2 y}{5 x}$ , we need to find the partial derivat…
None	Differentiate the function. \[ y=\frac{3 x^{2}-5}…	We are given the function $y = \frac{3 x^{2} - 5}{2 x^{3} + 3}$ and we are asked to find its derivative.
None	Differentiate and simplify: $f(x)=\frac{\ln e^{x}…	Given the function $f (x) = \frac{\ln e^{x}}{e^{x}}$
None	Find the first and second derivatives. \[ y=\frac…	We are given the function $y = \frac{2 x^{5} + 6}{x^{3}}$ .
None	${(\frac{x + 3}{(x + 1)})}^{'}$	Given function: $\frac{x + 3}{x + 1}$