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If y is a differentiable function of u, and u is a differentiable function of x. Then y has a derivative with respect to x given by the formula : dy/dx = dy/du. du/dx
This formula is known as the Chain Rule and says, " The rate of change of y with respect to x is the rate of change of y with respect to u multiplied by the rate of change of u with respect to x."
What else can I help you with?
What is the chain rule in calculus?
The chain rule, in calculus, is a formula. It allows one to compute the derivative of the composition of two or more functions. It was first used by the German mathematician Gottfried Leibniz.
What did the calculus teacher say to her nervous students before the quiz on the chain rule?
compose yourselves!
How do you do the chain rule of two multiples in order to find a derivative?
Chain Rule Definition: Use the chain rule to find the derivative of the composite of two functions--the derivative of the "outside" function multiplied by the derivative of the "inside" function. I am not the best in calculus so you might want to check out some chain rule example videos from the links.
How is integration through substitution related to the Chain Rule?
i love wikipedia!According to wiki: In calculus, integration by substitution is a method for finding antiderivatives and integrals. Using the fundamental theorem of calculus often requires finding an antiderivative. For this and other reasons, integration by substitution is an important tool for mathematicians. It is the counterpart to the chain rule of differentiation.
What are the main rules of finding out derivatives in urdu?
In calculus, to find the derivative of a function, you follow these rules: Power Rule (کتاو قاعدہ), Product Rule (ضرب قواعد), Quotient Rule (تقسیم قاعدہ), Chain Rule (زنجیری قاعدہ), and Trigonometric Rules (ترکیبی قواعد). These rules help determine how the rate of change of a function varies with respect to the input variable.
Why do you use chain rule?
Chain Rule You can use the chain rule to find the derivative of the composite of two functions--the derivative of the "outside" function multiplied by the derivative of the "inside" function. The chain rule is related to the product rule and the quotient rule, which gives the derivative of the quotient of two functions.If you want example problems about the chain rule you should check out the related links!Hope this answers your question!
Where does a mathematician pick his derivatives?
A mathematician picks their derivatives from the rules of calculus, which provide systematic methods for finding the derivative of a function. This includes using techniques such as the power rule, product rule, quotient rule, and chain rule. Additionally, they may derive derivatives from first principles using limits. Ultimately, the choice depends on the specific function being analyzed and the context of the problem.
What are woeds dealing with calculus?
-- differentiate -- derivative -- integrate -- integral -- chain rule -- implicit function -- arbitrary constant -- limit -- l'Hospital -- Newton -- rate of change -- area under the curve -- infinitesimal -- range -- domain -- delta -- epsilon -- ureter
What is the rule of the bacteria in the food chain?
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What is an example of calculus?
Here's an example calculus question: Find lim (x^2-4)/(x^2+2x-8) using l'hopital's rule. x->2
What is the Product rule for square roots?
the product rule is included in calculus part.Product Rule : Use the product rule to find the derivative of the product of two functions--the first function times the derivative of the second, plus the second function times the derivative of the first. The product rule is related to the quotient rule, which gives the derivative of the quotient of two functions, and the chain rule, which gives the derivative of the composite of two functionsif you need more explanation, i want you to follow the related link that explains the concept clearly.
How can one find higher order derivatives efficiently?
To find higher order derivatives efficiently, one can use the power rule, product rule, quotient rule, and chain rule in calculus. These rules help simplify the process of finding derivatives of functions with multiple variables or functions nested within each other. Additionally, using computer software or calculators can also aid in quickly calculating higher order derivatives.
