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ddxxn = nxn−1 ddxx3 = 3x3−1 = 3x2 (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, wher...
Find the derivative ofe7x−2using first principle of derivative View Solution Find the derivative ofy=e2x View Solution Doubtnut is No.1 Study App and Learning App with Instant Video Solutions for NCERT Class 6, Class 7, Class 8, Class 9, Class 10, Class 11 and Class 12, IIT JEE pr...
•|x|,abs(x)—absolute value •sqrt(x),root(x)—square root •exp(x)—e to the power of x •sgn(x)—sign function •y'—y′ •y'3—y′′′ •a+b—a+b •a-b—a−b •a*b—a⋅b •a/b—ba ...
Derivative f’ of the function f(x)=tan x is: f’(x) = 1 + tan²x for any value x different of π/2 + kπ avec k ∈Z
Find the derivative of f(x)=e3x2−1 a.6xe6x b.e3x2−1 c.(3x2−1)e3x2−2 d.6xe3x2−1 Derivative of Exponential Function: The derivative of the exponential function f(x)=eg(x) is the derivative of g(x) t...
Derivative f’ of function f(x)=arctan x is: f’(x) = 1 / (1 + x²) for all x real. To show this result, we use derivative of the inverse function tan x.
How do you find the derivative of the function : 4t^2-6t+10? 1. Find the derivative of y = xe^{5x} 2. Find the derivative of s(x) = 45(3x^3 - 8)^{3/2} A) Find the derivative of f(x) = x*sin^(-1)x. B) Find the derivative of f(x) = tan^(-1)e...
derivative词根词缀 "Derivative"一词来自于拉丁语"derivatus"，意思是"被引出的"或"派生的"。它由两部分组成："deri-"表示"引出"，而"-vatus"表示"被引出的状态"。 在英语中，"derivative"作为一个形容词，意思是"派生的"、"衍生的"或"从其他事物中推导出来的"。它常用来描述某个概念、词语或数学表达式...
Find the derivative of: 3x2+ 4x. According to the sum rule: a= 3,b= 4 f(x) =x2,g(x) =x f '(x) = 2x,g'(x) = 1 (3x2+ 4x)' = 3⋅2x+4⋅1 = 6x+ 4 Derivative product rule (f(x) ∙g(x) ) ' =f '(x) g(x) +f(x)g'(x) ...