- #1
Thepiman
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Homework Statement
i= v/r (1-e^-Rt/L)
How would i go about differentiating this formula to get di/dt? Would I use the product rule or another rule?
Homework Equations
i= v/r (1-e^-Rt/L)
The Attempt at a Solution
di/dt= ?
What happened to ##v/r##?Thepiman said:I got di/dt= R/L x e^-Rt/L
Using the chain rule.
Thepiman said:Homework Statement
i= v/r (1-e^-Rt/L)
How would i go about differentiating this formula to get di/dt? Would I use the product rule or another rule?
Homework Equations
i= v/r (1-e^-Rt/L)
The Attempt at a Solution
di/dt= ?
Thepiman said:Does it not cancel out?
Thepiman said:I got di/dt= R/L x e^-Rt/L
Differentiating is a mathematical process used to find the rate of change of a function with respect to its independent variable. It is also known as finding the derivative of a function.
Differentiation is important in many fields of science, including physics, chemistry, and economics. It allows us to understand how variables change over time and make predictions based on that information.
Differentiation and integration are inverse operations of each other. Differentiation is used to find the derivative of a function, while integration is used to find the antiderivative of a function. In simpler terms, differentiation is used to find the slope of a curve, while integration is used to find the area under a curve.
Some common techniques for differentiation include the power rule, product rule, quotient rule, and chain rule. These rules allow us to differentiate functions that are composed of different operations, such as multiplication, division, and composition.
Differentiation is used in real-life applications to solve problems related to rates of change, optimization, and curve fitting. It is also used to analyze data and make predictions in fields such as engineering, biology, and finance.