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?Find the derivative of the function using the definition of derivative. State the
Chapter 2, Problem 23(choose chapter or problem)
Find the derivative of the function using the definition of derivative. State the domain of the function and the domain of its derivative.
\(f(t)=2.5 t^{2}+6 t\)
Questions & Answers
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QUESTION:
Find the derivative of the function using the definition of derivative. State the domain of the function and the domain of its derivative.
\(f(t)=2.5 t^{2}+6 t\)
ANSWER:Step 1 of 4
Consider the following function:
\(f\left( t \right) = 2.5{t^2} + 6t\)
The objective is to find the derivative of the function using the definition of derivative. Also, state the domain of the function and its derivative.
Step 2 of 4
Definition of Derivative:
The derivative of the function f with respect to x is the function f' defined by the following rule,
\(f'\left( x \right) = \mathop {\lim }\limits_{h \to 0} \frac{{f\left( {x + h} \right) - f\left( x \right)}}{h}\)
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