What is the derivative of ln(sinh x)? What's the derivative of y=400(2)^{x+3}? f(x) = (-8x^2 + 6)(6x^2 + 3)^{\frac{1}{10 What is the derivative? what is the derivative of { f(x)=x^2*e^x } Would the answer simply be { 2x+e^x } ...
The derivative of the logistic sigmoid function, σ(x)=11+e−x,σ(x)=11+e−x, is defined as ddx=e−x(1+e−x)2.ddx=e−x(1+e−x)2. Let me walk through the derivation step by step below.ddxσ(x)=ddx11+e−x=ddx(1+e−x)−1[apply chain rule]=−(1+e−...
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Derivative of a Function: Using the limit definition of derivatives is very difficult in most cases. The practical way to do derivate is to know the derivative of a few simple functions (presented in tables of derivatives) and a few rules for derivatives. Here are some basic ru...
Now, the second derivative of $\arctan $ can be directly calculated by the Quotient Rule formula. The formula of the Quotient Rule is give as, $f'\left( x \right)=\dfrac{g'\left( x \right)h\left( x \right)-h'\left( x \right)g\left( x \right)}{{{\left| h\left( x...
A。解析:首先求一阶导数,设\(u = x^{2}\),\(y = e^{u}\),根据复合函数求导法则\(y^\prime=e^{u}\times u^\prime\),\(u^\prime = 2x\),所以\(y^\prime = 2xe^{x^{2}}\)。再求二阶导数,\(y^{\prime\prime}=2e^{x^{2}}+2x\times2xe^{x^{2}}=2e^{x^{2}}(2x^...
We know the derivative of a function at a point(a,f(a))(or a number a,or x=a). Please consider the example below by using the Graphing-Calculator(TI-84plus).Example 1:Find the derivative of f(x)=x2-8x+10at the number 2,2.5,and 5 by using the Graphing-Calculator. Solution:...
Iff(x)=2sinx, then what is the derivative off'(x)? 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 prep, NEET preparation and CBSE, UP Board, Bihar Bo...
Hence, the derivative of cosec x is"-cot x cosec x". Suggest Corrections 37 Similar questions Q. what is the derivative of |x|? Q. What is derivative of [1x]x Q. What is the derivative of loge x? Q. What is the derivative of |x−1| at x=2? Q. what is the derivative...
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