Wikipedia
differentiate a variable with respect to a function : For a real-valued function of a single real variable, the derivative at a point ... This rate of change is called the derivative of y with respect to x. .... of degree n is differentiated n times, then it becomes a constant function. ..... More from Wikipedia
Differentiation
Introduction - The derivative, measures the rate at which the dependent variable changes with respect to the independent variable. It is one of the most important ideas in Calculus. The differentiation of functions are widely used in science, econom..
Differentiability
We have already defined the derivative of a function f(x) at a particular point 'a' and derivative of f(x) in general for the variable x as f'(a) and f'(x) respectively. The restriction in both the cases is that 'the limit must exist'. If does not exist, ..
We have already defined the derivative of a function f(x) at a particular point 'a' and derivative of f(x) in general for the variable x as f'(a) and f'(x) respectively. The restriction in both the cases is that 'the limit must exist'. If does not exist, .. out of the air, and says: "HAHA! I gonna differentiate you!", and e^x says: "Oh, who cares? I', e^x!", and the drop says: "HAHA!!! But I'm d/dy!!!" and e^x says "NOOOOOOOOOOOOOOOO!!!!" ... because you know that when you differentiate a function with respect to another variable, you just get 0" Now everything should become more comprehensible!!! ISLP China Business Delegation - Gold Group 2008 - in Beijing Airport's "Irish Pub"; Peyam telling his 'math' joke! ... Peyam ISLP Gold Group China video ...
www.mindbites.com In this lesson, you will learn how to take the derivative of logarithmic functions. While the derivative of ln x is 1/x, this lesson will teach you how to find the derivative of a logarithmic function when the base is different (eg when you need to calculate the derivative for an equation like y=log (base b) x). In explaining how to differentiate these types of problems,Professor Burger will show you how to arrive at the answer and why it is correct. He will also walk ...
Question : Differentiate each function with the respect to the given variable.
1. g(u)=u^3
2. u(x)=x^2+1
3. f(x)=(x^2+1)^3
Answer : ) g(u) = u^3 g'(u) = 3 u^2 2) u(x)=x^2+1 u'(x) = 2x 3) f(x)=(x^2+1)^3 f'(x) = 3(x^2+1)^2 (2x) f'(x) = 6x(x^2+1)^2.. More from Yahoo Answers
Answer : ) g(u) = u^3 g'(u) = 3 u^2 2) u(x)=x^2+1 u'(x) = 2x 3) f(x)=(x^2+1)^3 f'(x) = 3(x^2+1)^2 (2x) f'(x) = 6x(x^2+1)^2.. More from Yahoo Answers
Question : y = sqrt(x^2 + 2)
Answer : think of it as y=(x^2+2)^1/2, then use the power rule to make it (1/2)*(x^2+2)^-1/2, which is the same as saying 1/[2*sqrt(x^2+2)].. More from Yahoo Answers
Answer : think of it as y=(x^2+2)^1/2, then use the power rule to make it (1/2)*(x^2+2)^-1/2, which is the same as saying 1/[2*sqrt(x^2+2)].. More from Yahoo Answers
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