Question

11. If y=uv are the functions of x then dy/dx=....
O A. dy/dx=du/dx dv/dx
O B. dy/dx=u dv/dx+v du/dx
O C. dy/dx=u dv/dx-v du/dx
O D. dy/dx=v du/dx-u dv/dx​

Answer 1

Answer:

B dy/dx=u dv/dx+ v du/dx

Answer 2

Concept:

In differentiation, the uv formula is the sum of the differentiation of the first function multiplied by the differentiation of the second function multiplied by the differentiation of the first function multiplied by the differentiation of the second function multiplied by the differentiation of the first function multiplied by the differentiation of the second function multiplied by the differentiation of the second function multiplied by the differentiation of the first

The UV differentiation formula may also be used to determine the differentiation of a product of three or more functions.

The idea of partial derivatives of two or more functions has been aided by UV differentiation.

Solution:

$y=uv\\\frac{dy}{dx}=u\frac{dv}{dx}+v\frac{du}{dx}$

Option(B) is correct.

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