Step by step video & image solution for Find the derivative of x^n + ax^(n-1) + a^2x^(n-2) + ...+ a^(n-1)x + a^n for some fixed real number a. by Maths experts to help you in doubts & scoring excellent marks in Class 11 exams.Updated on:21/07/2023Class...
Find the derivative of x^(n)+ax^(n-1)+a^(2)x^(n-2)+…+a^(n-1)x+a^(n) for some fixed real number a.
Answer to: a. Find the derivative of the function. F\left ( x \right ) = \left ( x^4 + 3x^2 - 2 \right )^9 b. F(x) = f(g(x)), where f(2) = 4,...
百度试题 结果1 题目Ex. (1) Find the derivative o fx^nW.r.t.x.(n∈N) 相关知识点: 试题来源: 解析 LetBy the method of first principle,Let, as 反馈 收藏
Find the derivative of the function using the definition of derivative.f(x) = ax + sf'(x)= State the domain of the function. (Enter your answer using interval notation.)(-∞,∞)State the domain of its derivative. (Enter your answer using interval notation. )(-∞,∞) ...
{eq}\displaystyle { \frac{d}{dx} x^n = nx^{n-1} \ \ \ \ \ \ \ \ \text{(Power rule)} \\ \frac{d}{dx} \tan x = \sec^2 x \\ \frac{d}{dx} \sec x = \sec x \tan x } {/eq} These formulas can be applied to find the derivative of complex trigon...
Find the derivative of the given functions below:y = l n ( l n x^ 2 ) f ( x ) = l n ( x^ 2 + 3 ) g ( x ) = x ^3 l n ( x ) h ( x ) = l n ( x + 1/ x ) Find the derivative of the given functions. a. g(x) = \int_{2}^{x} \csc^2(t...
Sinceaaisconstantwith respect toxx, thederivativeofaxaxwith respect toxxisaddx[x]addx[x]. addx[x]addx[x] Differentiate using thePower Rulewhich states thatddx[xn]ddx[xn]isnxn−1nxn-1wheren=1n=1. a⋅1a⋅1 Multiplyaaby11.
The first way of calculating the derivative of a function is by simply calculating the limit. If it exists, then you have the derivative, or else you know the function is not differentiable. Example As a function, we takef(x) = x2. ...
The derivative of a function f(x) tells the rate of change of f(x) with respect to x. {eq}\frac{d}{dx} \sin ax =a \cos x \\ \frac{d}{dx} \cos ax =-a \sin x \\ {/eq} Differentiation:Definition using Limits: We define the derivative of a function as {eq}\dfrac{dy}...