Search results
Results From The WOW.Com Content Network
The FBISE was established under the FBISE Act 1975. [2] It is an autonomous body of working under the Ministry of Federal Education and Professional Training. [3] The official website of FBISE was launched on June 7, 2001, and was inaugurated by Mrs. Zobaida Jalal, the Minister for Education [4] The first-ever online result of FBISE was announced on 18 August 2001. [5]
[9] [10] Rawalpindi: 1977 Rawalpindi District, Jhelum District, Attock District, Chakwal District [11] [12] Sahiwal: 2012 Sahiwal District, Okara District, Pakpattan District [13] [14] Sargodha: 1968 Sargodha District, Khushab District, Mianwali District, Bhakkar District [15] [16]
In mathematics, differential calculus is a subfield of calculus that studies the rates at which quantities change. [1] It is one of the two traditional divisions of calculus, the other being integral calculus—the study of the area beneath a curve.
The process of finding a derivative is called differentiation. There are multiple different notations for differentiation, two of the most commonly used being Leibniz notation and prime notation. Leibniz notation, named after Gottfried Wilhelm Leibniz , is represented as the ratio of two differentials , whereas prime notation is written by ...
They imply the power rule = In addition, various forms of the chain rule hold, in increasing level of generality: [12] If y = f ( u ) is a differentiable function of the variable u and u = g ( x ) is a differentiable function of x , then d y = f ′ ( u ) d u = f ′ ( g ( x ) ) g ′ ( x ) d x . {\displaystyle dy=f'(u)\,du=f'(g(x))g'(x)\,dx.}
This article is a summary of differentiation rules, that is, rules for computing the derivative of a function in calculus. Elementary rules of differentiation [ edit ]
Isaac Newton's notation for differentiation (also called the dot notation, fluxions, or sometimes, crudely, the flyspeck notation [12] for differentiation) places a dot over the dependent variable. That is, if y is a function of t, then the derivative of y with respect to t is
The proof of the general Leibniz rule [2]: 68–69 proceeds by induction. Let and be -times differentiable functions.The base case when = claims that: ′ = ′ + ′, which is the usual product rule and is known to be true.