- #1
mimitka
- 3
- 0
f(x)=20x^3 - 3x^5
f '(x)=60x^2 - 15x^4
f ''(x)=120x-60x^3
Is this correct?
f '(x)=60x^2 - 15x^4
f ''(x)=120x-60x^3
Is this correct?
The function f(x) is 60x^2 - 15x^4 & 120x-60x^3.
The purpose of finding the derivatives of this function is to determine the rate of change of the function at any given point. This can be useful in various scientific and mathematical applications, such as optimization problems and calculating velocity or acceleration.
The steps to find the derivatives of this function are:
The derivatives of 60x^2 - 15x^4 & 120x-60x^3 are 120x - 60x^3 and 120 - 60x^2 respectively.
Finding the derivatives of this function can be applied in real life in various fields such as engineering, physics, and economics. For example, in economics, derivatives can be used to determine the marginal cost and marginal revenue of a product, which can help a company make decisions about production and pricing. In physics, derivatives can be used to calculate the velocity and acceleration of an object at a specific point in time. In engineering, derivatives can be used to optimize designs and improve efficiency.