How do you know if a question is differentiation or integration?

We would use differentiation because v=dv/dt.. And if we are given velocity and we want to find the distance.. Given a time dependent velocity equation then integration will do the job. Whenever u find any y quantity dependent on x then always go for differentiation or integration.

How do you know when to use differentiation?

We can use differentiation to determine if a function is increasing or decreasing: A function is increasing if its derivative is always positive. A function is decreasing if its derivative is always negative. y = -x has derivative -1 which is always negative and so -x is decreasing.

What is the difference between differentiation and integration in physics?

differentiation means difference -division or integration means product sum so here division reverse product (multiplication) difference reverse sum so we can write differentiation = dy/dx or integration = ⨜ydx hence these two are reverse process of each other in physics we use both wherever application required .

What are the examples of differentiation in physics?

What are the examples of differentiation? The example of differentiation is velocity which is equal to rate of change of displacement with respect to time. Another example is acceleration which is equal to rate of change of velocity with respect to time.

What are some real-life examples of differentiation and integration?

The real-life example of differentiation is the rate of change of speed with respect to time (i.e.velocity) and for integration, the greatest example is to find the area between the curve for large scale industries.

How do you find the differentiation and integration formula?

Differentiation and Integration Formulas Differentiation Formulas Integration Formulas d/dx (a) = 0 where a is constant 1 dx = x+C d/dx (x) = 1 a dx = ax + C d/dx (x n) = nx n-1 xn dx = (xn+1/n+1) + C d/dx sin x = cos x sin x dx = -cos x + C