Answer: The derivative of x2 log x using product rule is (x + 2x log x). Example 3: Apply the product rule to differentiate (1 - 2x)·sin x. Solution: Let f(x) = (1-2x), g(x) = sin x ⇒g'(x) = cos x ⇒f'(x) = -2 ⇒[f(x)g(x)]' = [g(x)f'(x) +...
Example 1---Two Factors Supposef(x)=x2sin3xf(x)=x2sin3x. Findf′(x)f′(x). Step 1 Identify the factors in the function. f(x)=x2⋅sin3xf(x)=x2⋅sin3x Step 2 Use the product rule to differentiate the function. ...
The product rule is a common rule for the differentiating problems where one function is multiplied by another function. Learn how to apply this product rule in differentiation along with the example at BYJU’S.
Using product rule differentiate (1-2tan x) ( 5 + 4 sin x) w.r.t.x 04:03 Find d/(dx) ( 1 + tan x) 01:25 Find d/(dx) (x/(1 + tan x)) 02:36 What is the value of d/(dx) (sec x ) ? 02:47 Differentiate (sec x + 1)/(sec x - 1) w.r.t.x 03:17Exams...
The product rule of differentiation is a fundamental theorem in calculus. It allows us to differentiate the product of two functions with ease. This rule has a multitude of applications, including in physics, engineering, and economics. In Conclusion The product of mathematics has had a profound ...
alack of ability to differentiate the product at their premium costs in these mature markets, also the company was unable to maintain their high profit margin products in some countries due to its low price competitions. 缺乏能力区分产品在他们的保险费费用在这些成熟市场上,也公司无法维护他们的高利润...
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Use the Product Rule or Quotient Rule to find the derivative. f(x) = \frac{4x^2 + 7}{2x^2 - 7} Find the derivative using the product rule. a.) Differentiate y = (\frac{1}{x^2} - \frac{1}{x^4})(x + 5x^2) The product rule finds the derivative. f(x) ...
If your product is an image, you are advised to select S3 ECSs. If there are different versions of the product, differentiate one specification from another instead of releasing all the versions of that product on KooGallery. More Tax Info Enter the tax information of the product. SEO ...
to differentiate a function if the cte says, for instance, that the function is written a sum of two smaller expressions, then apply the rule for sums as a first step. this will leave you having to differentiate the two smaller expressions, and you can then use the cte on these, and ...