derivative of exponential functions e^x examples part 1 in Urdu& Hindi скачать в хорошем качестве

derivative of exponential functions e^x examples part 1 in Urdu& Hindi

#derivatives #differentiation In perfect learning hub this derivative video tutorial we will explain derivative of exponential functions and how to find the derivative of the exponential functions e^x with base e, a^x with different related examples. Exponential functions are those which are having some variable like x,y in the power of e or a constant like a etc. Basically this derivative of exponential functions in Urdu and Hindi is especially for the mathematics students of class 12, FSC, ICS, CSBE. We try to explain class 12 math chapter 2 completely. And also for the university students this video derivative definition in calculus will be more beneficial who are studying calculus, multivariable calculus, business mathematics etc. So according to this video we can differentiate our questions by using , first principle, derivative formulas of exponential functions and chain rule in derivatives. derivative rules of exponential functions are given below: • d [ e^(x) ] / dx = [ e^(x) ] . d(x)/d(x) • d [ e^(ax) ] / dx = a . [ e^(ax) ] • d [ a^(x) ] / dx = [ a^(x) . ln(a) ] . d(x)/d(x) d/d(x) represents derivative with respect to variable x means we are differentiate here with respect to x in this formula. we will solve 6 different questions related to this topic. In this video we will find derivative of two question related to this topic given below. So that you people have a better understanding and can easily solve every type of related question to this topic like derivative of e^x in math etc. Questions are: Differentiate this function with respect to X: 1. If y =f(x)= e^ [square root(x)-1] 2. If y =f(x)= e^ (-2x).Sin 2x We will solve these questions by using derivative basic rules. In our next video (part 2) we will solve a question related to the topic. We will find derivative of: 1. y=F(x) = a raise to power x (a^x), differentiate this function with respect to X. We will solve this question by using two different methods: 1.derivative by definition formula [limit delta (x) approaches to 0 f(x+ (delta) x)-f(x)/ delta (x)] 2. derivative Basic rules of exponential functions . We will use its these rules to solve different example like 3^7x , 4^x etc. link of video is: In our next video (part 3) we will solve a question related to the topic derivative of exponential functions e^x, a^x. Questions are: Differentiate with respect to x: 5. X= a ^sqrt(x) , dy/dx=? We will solve this question by using two different methods: 1. We will solve this question by using basic Chain rule. 2. Basic rules of the exponential functions Whose link is: Questions are explained in the video. In this way you can easily solve all related questions by using this concept.