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Differentiate the function.$ h(t) = \sqrt[4]{t} - 4e^1 $
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00:27
Frank Lin
Calculus 1 / AB
Chapter 3
Differentiation Rules
Section 1
Derivatives of Polynomials and Exponential Functions
Derivatives
Differentiation
Jp R.
October 17, 2019
The question in the book is not e^1 ... It is e^t
Campbell University
Oregon State University
Harvey Mudd College
Idaho State University
Lectures
04:40
In mathematics, a derivative is a measure of how a function changes as its input changes. Loosely speaking, a derivative can be thought of as how much one quantity is changing in response to changes in some other quantity; for example, the derivative of the position of a moving object with respect to time is the object's velocity. The concept of a derivative developed as a way to measure the steepness of a curve; the concept was ultimately generalized and now "derivative" is often used to refer to the relationship between two variables, independent and dependent, and to various related notions, such as the differential.
44:57
In mathematics, a differentiation rule is a rule for computing the derivative of a function in one variable. Many differentiation rules can be expressed as a product rule.
03:12
Differentiate the function…
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Use the Product Rule to di…
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00:50
he has clear. So when you read here so we have a job. T is equal to t to the 1/4 power minus four times eats the tea. This can be rewritten s t to the 1/4 power. So when we derive this, it's in terms of tea were t to the 1/4 power dynasty over d T or eat the tea. And this becomes equal to 1/4 t to the negative three for its bonus for e to the T four e to the T is the same since the derivative of an exponential it's the same no matter how many times you take the derivative.
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