The differentiation of the logarithmic function is given by: {eq}\ \ \ \ \ \ \ \ \ \ \displaystyle \frac{d}{dx}[ \log x] = \frac{1}{x} {/eq} Power formula of the differentiation is given by: {eq}\ \ \ \ \ \ \ \ \ \ \displaystyle \frac{d}{dx}[ x^n] = n x...
Let y = f(x) be a function of x. Then, the rate of change of “y” per unit change in “x” is given by: dy / dx If the function f(x) undergoes an infinitesimal change of ‘h’ near to any point ‘x’, then the derivative of the function is defined as ...
The explicit differentiation is used to differentiate the functiony=f(x)and the implicit function is used to differentiate the function that could not be written in the explicit formy=f(x) The power rule of differentiation: ddxxn=nxn−1 ...
Ferroptosis is an iron-dependent form of non-apoptotic cell death characterized by excessive lipid peroxidation and associated with a plethora of pathological conditions in the liver. Emerging evidence supports the notion that dysregulated metabolic path
This can be achieved by the use of the optimized parameter and the modeling power to reveal the evolution of the differentiation factors, Desmin, MyoD, myogenin, and MHC for longer times. The chosen time interval cannot be too short (e.g., cutting the presentation at 21 days would not ...
In addition, we have also showed that TSG promoted the lymphopoiesis tendency as well as the potential of repopulation both in naturally aging mice and TBI-induced aging mice by activating AMPK-Tet2 axis. Such an exercise has demonstrated the power of the system for interrogating the mechanisms ...
eysinx=x+xyImplicit Differentiation:When a function is given with two variables together, then the function is known as the implicit function. The differentiation of the implicit function can be found by simply applying the power rule and product rule of the differentiation.Answer...
The power rule of differentiation is used to determine the derivative of the functions in the form ofxn. It can be given with the help of the following formula: (xn)′=nxn−1 Also, the chain rule, in this case, can be used as: ...
www.nature.com/scientificreports OPEN 25-Hydroxyvitamin D3 induces osteogenic differentiation of human mesenchymal stem cells received: 12 October 2016 accepted: 13 January 2017 Published: 17 February 2017 Yan-Ru Lou1,2, Tai Chong Toh3,4,Yee Han Tee5,6 & Hanry Yu1,5,6,7,8,...
We are given a function {eq}k(x) {/eq}which is product of a power function and an exponential function. We need to find out the derivative To solve this problem, we'll take the derivative of the both sides. Next, we'll use the product rule. The product rule states that: ...