- #1
elton_fan
- 16
- 0
hi all
i need a derivative of this function f(t)=100t/2t+15
thanks a lot
i need a derivative of this function f(t)=100t/2t+15
thanks a lot
Hurkyl said:FYI, you wrote
[tex]
f(t)=\frac{100t}{2t}+15
[/tex]
Is that what you meant? If you meant to write
[tex]
f(t)=\frac{100t}{2t+15}
[/tex]
then you need to use parentheses.
Differentiation of a function is a mathematical process of finding the rate of change of the function with respect to its independent variable. It involves finding the slope of the tangent line at a given point on the function's graph.
Differentiation is important because it allows us to understand the behavior of a function and its rate of change. It is used in various fields such as physics, engineering, economics, and statistics to analyze and solve real-world problems.
Differentiation and integration are inverse operations of each other. Differentiation involves finding the rate of change of a function, while integration involves finding the area under the curve of a function.
To differentiate a function, you can use the power rule, product rule, quotient rule, or chain rule, depending on the form of the function. These rules involve taking the derivative of the function, which is essentially finding the slope of the tangent line at a given point.
Differentiation has numerous applications in real life, such as in physics to find the velocity and acceleration of an object, in economics to determine the marginal cost and revenue, and in biology to analyze growth and decay of populations. It is also used in optimization problems to find the maximum or minimum value of a function.