What is the derivative of y=ln(1/x)? What is derivative of ln(1/x)? What is the derivative of c(x)=(10 - x) + 1.4\sqrt{x^{2}+ 25}. What is the derivative of \sec^{-1}(x + 2)^2 = \frac{2}{(x + 2) \sqrt{(x + 2) - 1?
Hint:To solve this question, we should know about the derivatives and the derivation formulas.This is because we can calculate the second derivative by the solving of the first derivative’s derivation again. The second derivative of any function is always the same if we calculate that by ...
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^...
Find the derivative of y = 6 e^x (\csc x) Find the derivative of y 1.y=\frac{1}{2}\sinh (2x+1) 2.y=\left ( 4x^{2}-1 \right )\csc h(\ln 2x) 3.y=2\sqrt{x}\tanh \sqrt{x} 4.y=\cosh ^{-1}2\sqrt{x+1} What is the derivative of csc(x)? Find the derivative...
Find y' if y= ln( x^2 + y^2) I thought this was just a regular natural log derivative combined with the chain rule. So what I got was (2x + 2y)/ (x^2 +...
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−...
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:...
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Again, for numerical stability when calculating the derivatives in gradient descent-based optimization, we turn the product into a sum by taking the log (the derivative of a sum is a sum of its derivatives):l(w,b∣x)=logL(w,b∣x)=∑i=1[y(i)log(σ(z(i)))+(1−y(i))log(1...
The value of derivatives is generally derived from the performance of an asset, index, interest rate, commodity, or currency. An equity option is a derivative that derives its value from the underlyingstock price. The value of the equity option fluctuates as the price of the underlying stock ...