Quotient Rule for Derivatives
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- The Quotient Rule gives us an easy way to find the derivative of the quotient of two functions fff and ggg, or fg\frac{f}{g}gf. The rule can be derived from a new/old friend, t…
By Leigh Marie Braswell, Victor Wang, Ahaan Rungta, Moor Xu
- Quotient Rule Now that we know the product rule, a natural question that follows is, how do we find the derivative of a quotient of two functions. More formally, given two funct…
By Rajiv Movva, Freya Edholm, Alex Federspiel
- (Videos) Using Chain, Product, and Quotient Rules to Find Derivatives by PatrickJMT Here's a video by patrickJMT showing you how to use the chain, product, and quotient rules to…
By Alex Federspiel
- (Video) The Quotient Rule by PatrickJMT Here's a video by patrickJMT showing you how to use the quotient rule to find derivatives. The quotient rule is similar to the product ru…
By Alex Federspiel
- (Videos) Using Chain, Product, and Quotient Rule to Find Derivatives by PatrickJMT Here's a video by patrickJMT showing you how to find the derivative of functions where you nee…
By Alex Federspiel
- (Video) Solving Every Derivative Ever by PatrickJMT Okay, maybe it's not EVERY derivative ever but here's a video by patrickJMT going over different derivatives for a whopping 3…
By Alex Federspiel
Problems 12
- Differentiate using quotient rule y=2x+1y = \frac{2}{x+1}y=x+12
- Differentiate using quotient rule y=x23x−1y = \frac{x^{2}}{3x-1}y=3x−1x2
- What is the derivative of cosxx\frac{\cos x}{x}xcosx?
- Using the quotient rule in reverse, find the value of ∫1eln(x)(1+ln(x))2 dx.\int_{1}^{e} \frac{\ln(x)}{(1+\ln(x))^2} \, dx.∫1e(1+ln(x))2ln(x)dx. Please answer in the form of…
- Find the derivative of f(x)f(x)f(x). f(x)=4x+73x−7f(x)=\frac{4x+7}{3x-7}f(x)=3x−74x+7
- Find the derivative of f(x)f(x)f(x). f(x)=x52x2+4x−7f(x)=\frac{x^5}{2x^2+4x-7}f(x)=2x2+4x−7x5
- Find the derivative of f(x)f(x)f(x). f(x)=x4−2x2xxf(x)=\frac{x^4-2x^2\sqrt x}{x}f(x)=xx4−2x2x
- Find the derivative of f(x)f(x)f(x). f(x)=20+13x0.41+8x0.4f(x)=\frac{20+13x^{0.4}}{1+8x^{0.4}}f(x)=1+8x0.420+13x0.4
- Find the derivative of f(x)f(x)f(x). f(x)=1+cosxx+sinxf(x)=\frac{1+\cos x}{x+\sin x}f(x)=x+sinx1+cosx
- Find the second derivative of f(x)f(x)f(x). f(x)=x2(1−x)f(x)=\frac{x^2}{(1-x)}f(x)=(1−x)x2
- What are the critical points for the function f(x)=6x22x2−4f(x)=\frac{6x^2}{2x^2-4}f(x)=2x2−46x2
- Consider this function which models an arc with endpoints at (±1,0):(\pm 1, 0):(±1,0): y=231−x2.y = \frac{2}{3}\sqrt{1 - x^2}.y=321−x2. Convert this function to polar coordina…