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 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^...
What is the derivative off(x)=xln(x)? Question: 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 gi...
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.
By using the property of linearity of the derivative, the derivative of the given function can be written as d/dx(ln(ln(x))) + d/dx(ln(x)) By applying the chain rule, the derivative of the first term is 1/ln(x)*d/dx(ln(x))=1/ln(x) * 1/x while the derivative of the...
Find derivative ofcos(sinx)w.r.t. tox View Solution 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, Cl...
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...
Raise x to the power of 1.d/(dx)|p(x^1z)Raise x to the power of 1.d/(dt)|p(x^1|r')|Use the power rulea^ma^n=a^(m+n) to combineexponents.d/(dx)|ux^(|t|+|)|Add 1 and 1.d/(dx)lnx^2Since p is constant with respect to x, the derivative of px^2 with respect...
Answer to: Find the derivative of f(x) =(lnx)(e^x^2). Find f'(1). By signing up, you'll get thousands of step-by-step solutions to your homework...