The derivative of xlnx is equal to ln x + 1. It can be evaluated using the product rule and the first principle of differentiation.
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Find the derivative of each implicit function, where dY/dX = F_X/F_Y, provided that F_Y is not equal to 0. (a) F(x,y) = x^2 + y^2 + (xy)^1/3 = 0 (b) F(x,y) = x^2y + y^2x + xy = 0 Find the derivative of each implicit function,...
What is the derivative off(x)=xln(x)? Differentiation This question is from the differentiation and we have to find out the first-order derivative of the given function. We will use the product rule to solve this. The product rule is given below ...
Find derivative cos(lnx) 01:30 Find derivative of y=e^(a x)sinb x . 03:01 Find derivative of y=e^(a x)cosb x 02:47 Find derivative of y=(fog)(x) 01:56 Find derivative of y=(gof)(x) 01:37 Find derivative of y=1/((f(x))^n) 02:25 Find derivative of y=sec^2(f^...
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 derivative oftan−1xw.r.t. tox View Solution Find the derivative ofex(x2+1)w.r.t.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...
Find the derivative y= x^3 lnx . Find the derivative of y = ln(x) + 23; x greater than 0. Find the derivative of the function. y = \ln(x). Find the derivative of the function. ln(x tan x) Find the derivative of f(x) = 3x \ln(x) + 4x. Find the derivative of the fo...
(|t|+|)|Add 1 and 1.d/(dx)lnx^2Since p is constant with respect to x, the derivative of px^2 with respect to x is pd/(dx)x^2.pd/(dx)x^2Differentiate using the Power Rule which states that d/(dt)|z|^n⋅ is nx^(n-1) where n=2.p(2x)Move 2 to the left of p....
Solution:===Primitive function =ln(x)−x2(x−ln(x))The first derivative function:d(ln(x)−x2(x−ln(x)))dx1(x)−(−(1−1(x))(x−ln(x))2)x2−2x(x−ln(x))1x−x(x−ln(x))2+x2(x−ln(x))2−2x(x−ln(x))The second derivative of function:d...