Find the derivative of y=e^(3x).相关知识点: 试题来源: 解析 The derivative of y=e^(3x) is 3e^(3x). Let u=3x. Then \dfrac {\d y}{\d x}=e^{u}\cdot \dfrac {\d u}{\d x}.Since \dfrac {\d u}{\d x}=3, \dfrac {\d y}{\d x}=e^{u}\cdot 3 or 3e^u.The ...
(In other words the derivative of x3 is 3x2)So it is simply this:"multiply by power then reduce power by 1"It can also be used in cases like this:Example: What is ddx(1/x) ? 1/x is also x-1 We can use the Power Rule, where n = −1: ddxxn = nxn−1 ddxx−1 = ...
百度试题 结果1 题目Find the derivative of y=e^(3x). 相关知识点: 试题来源: 解析 The derivative of y=e^(3x) is 3e^(3x).反馈 收藏
Find the derivative of the transcendental function: f(x)=3x2cosx−x3e−2x The derivative of a Function: If a function is defined as the product between two functions of an independent variable, to obtain the derivative of this function, a theorem known as the product...
Find the second derivative of e^(3x)sin4x. 05:05 Find the second derivative of sin 3x cos 5x. 07:14 If y=e^tanx then prove that: cos^2x(d^2y)/(dx^2)-(1+sin2x)(dy)/dx=0 03:59 If y=(logx)/x , show that (d^2y)/(dx^2)=(2logx-3)/(x^3) . 01:39 If y=e^(...
What is the derivative of e^cos(x) + x^2? Applying the Rules of Differentiation to Calculate Derivative: When we try to find out the derivative of an expression that combines several functions, we can resort to the formulas corresponding to each of those functions that appear in the table...
Determine the derivative of each of the following functions {eq}f(x) = ∞_2^{3x^2} \frac{e^t}{t }dt {/eq} {eq}g(x) = \int_{tan x}^{cos x} \sqrt{ 1 + t^3} dt {/eq} The Fundamental Theorem of Calculus: As...
例: y^{5}+2y-x-3x^{7}=0 ,求 \frac{dy}{dx} 解:方程两边对 x 求导,得 5y^{4}\frac{dy}{dx}+2\frac{dy}{dx}-1-21x^{6}=0 ,解得 \frac{dy}{dx}=\frac{1+21x^{6}}{5y^{4}+2} 方法③:根据隐函数求导公式 \frac{dy}{dx}=-\frac{F'x}{F'y} ,前提需要满足等式 F\lef...
Step by step video & image solution for Find the derivative of y = log (e^(2x)). by Maths experts to help you in doubts & scoring excellent marks in Class 12 exams. Updated on:21/07/2023 Class 12MATHSCONTINUITY AND DIFFERENTIABILITY ...
Apply the common derivative:dxdx=1=1 Enter your problem Popular Examples Frequently Asked Questions (FAQ) What is the derivative of ln(e^x) ? The derivative of ln(e^x) is 1 What is the first derivative of ln(e^x) ? The first derivative of ln(e^x) is 1...