Note: the little mark ’ means derivative of, and f and g are functions.Common FunctionsFunction Derivative Constant c 0 Line x 1 ax a Square x2 2x Square Root √x (½)x-½ Exponential ex ex ax ln(a) ax Logarithms ln(x) 1/x loga(x) 1 / (x ln(a)) Trigonometry (x is...
Find the derivative of: (ln(1 + x)/x)/(1/x). Find the derivative of y = x tanh^{-1}(x) + ln(1-x^2)^{\frac{1}{2 . Find the derivative of: ln(1 + 5/x). What is the derivative of \ln(x-1)? What is the derivative of 5tan(x)? What is the derivative to y= ...
Find the derivative of the following functions w.r.t.x: y=log(1+x3) View Solution Find the derivative ofy=ln2x View Solution Find the derivative ofy=ln(2x3−x)2 View Solution Doubtnut is No.1 Study App and Learning App with Instant Video Solutions for NCERT Class 6, Class 7, Cl...
=2ln(x)dxd(ln(x)) dxd(ln(x))=x1 =2ln(x)x1 Simplify2ln(x)x1:x2ln(x) =x2ln(x) Enter your problem Popular Examples Frequently Asked Questions (FAQ) What is the derivative of (ln(x)^2) ? The derivative of (ln(x)^2) is (2ln(x))/x ...
Primitivefunction=ln(1(−x+1))Thefirstderivativefunction:d(ln(1(−x+1)))dx(−(−1+0)(−x+1)2)(1(−x+1))1(−x+1)Thesecondderivativeoffunction:d(1(−x+1))dx(−(−1+0)(−x+1)2)1(−x+1)2 Your problem has not been solved here? Please go to theHot...
Step by step video & image solution for The derivative of y=(1-x)(2-x)...(n-x) at x=1 is (a)0 (b) (-1)(n-1)! (c)n !-1 (d) (-1)^(n-1)(n-1)! by Maths experts to help you in doubts & scoring excellent marks in Class 11 exams.Updated on:21/07/2023Class...
Function image Hot issues Derivative function: Enter an original function (that is, the function to be derived), then set the variable to be derived and the order of the derivative, and click the "Next" button to obtain the derivative function of the corresponding order of the function. ...
Simplify=6x(x2−1)2 Enter your problem Popular Examples Frequently Asked Questions (FAQ) What is the derivative of (x^2-1)^3 ? The derivative of (x^2-1)^3 is 6x(x^2-1)^2 What is the first derivative of (x^2-1)^3 ?
The input recognizes various synonyms for functions such asasin,arsin,arcsin,sin^-1 Multiplication signs and parentheses are automatically added, so an entry like2sinxis equivalent to2*sin(x) List of mathematical functions and constants: •ln(x)—natural logarithm ...
更新1: I have another question: f(x) = (1-e^x) / x^2 the derivative is (e^x(1-x) -1) / x^2 I used quotient rule but I can't find the wer. please show me the procedure...Question 1 y = e^(x^3) * ln x^2 dy/dx = {d[e^(x^3)] / dx}(ln x^...