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53Mark53
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Homework Statement
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Consider the equation z=6x8ln(x) where z and x are functions of t.If dx/dt=5 when x=e calculate dz/dt.
Homework Equations
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Do I have to rearrange the equation to do this?
haruspex said:Not sure what the 6x8 means. Is it 6 times 8? 6x^{8}?
53Mark53 said:Homework Statement
[/B]
Consider the equation z=6x8ln(x) where z and x are functions of t.If dx/dt=5 when x=e calculate dz/dt.
Homework Equations
[/B]
Do I have to rearrange the equation to do this?The Attempt at a Solution
A composite function is a mathematical function that is created by combining two or more functions. The output of one function becomes the input of the other function, resulting in a new function.
To find the derivative of a composite function, you can use the chain rule. First, take the derivative of the outer function, and then multiply it by the derivative of the inner function.
Yes, the chain rule can be applied to any composite function, as long as the individual functions are differentiable.
A composite function is made up of multiple functions, while a simple function only consists of a single function. In a composite function, the output of one function becomes the input of another, while in a simple function, there is only one input and one output.
Yes, there are other methods such as the product rule and quotient rule that can be used to find the derivative of a composite function. However, the chain rule is often the most efficient method for finding the derivative of a composite function.