(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 = ...
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) ...
Find the derivative ofsec−1(12x2−1)w.r.t.√1−x2atx=12. View Solution Free Ncert Solutions English Medium NCERT Solutions NCERT Solutions for Class 12 English Medium NCERT Solutions for Class 11 English Medium NCERT Solutions for Class 10 English Medium ...
Derivative Proof of sin(x) We can prove the derivative of sin(x) using the limit definition and the double angle formula for trigonometric functions.
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 ...
derivative+of+e^-x
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(∫ e^(1/x)dx) 相关知识点: 试题来源: 解析 (∫ e^(1/x)dx) is an antiderivative of ( e^(1/x)), so by definition ( d/(dx)[∫ e^(1/x)dx]) is ( e^(1/x)). ( e^(1/x))结果一 题目 Find the Derivative integral of x/(1+x^4) with respect to x 答案 is an ant...
The fractional derivative of f(t) of order mu>0 (if it exists) can be defined in terms of the fractional integral D^(-nu)f(t) as D^muf(t)=D^m[D^(-(m-mu))f(t)], (1) where m is an integer >=[mu], where [x] is the ceiling function. The semiderivative co
To prove (*), use the covariant derivative formula with W = E1. Then f1 = 1 and f2 = 0, so the formula collapses immediately to (*). Consistency. For two different frame fields, do the local definitions agree? If so, we have a single covariant derivative well-defined on all of M...