Find the Antiderivative natural log of xdx ( (ln)(x)dx) 相关知识点: 试题来源: 解析 Write the polynomial as a function of ( x). ( f(x)=(ln)(x)dx) The function( F(x)) can be found by finding the indefinite integral of the derivative( f(x)). ( F(x)=∫ f(x)dx) Set ...
The derivative of the natural logarithm function, {eq}f(x) = \ln x {/eq}, is equal to the reciprocal of {eq}x {/eq}, {eq}\frac{1}{x} {/eq}. By the Chain Rule, the derivative of the composite function involving this logarithm must be equal to: ...
( (td/(dt)[(ln)(t)]-(ln)(t)d/(dt)[t])/(t^2)) The derivative of ( (ln)(t)) with respect to ( t) is ( 1/t). ( (t1/t-(ln)(t)d/(dt)[t])/(t^2)) Differentiate using the Power Rule. ( (1-(ln)(t))/(t^2)) 反馈 收藏 ...
Find the derivative of the functionf(x)=ln(x+lnx). Derivative of the Natural Logarithm: The procedure for calculating the derivative of the natural logarithm is the same as the derivative of its internal function divided by the internal function. In many cases, it is convenient to u...
Differentiate using the chain rule, which states that ddx[f(g(x))]ddx[f(g(x))] is f'(g(x))g'(x)f′(g(x))g′(x) where f(x)=ln(x)f(x)=ln(x) and g(x)=13xg(x)=13x. Tap for more steps... ln(13x)∣∣ln2(13x)∣∣(113xddx[13x])ln(13x)|ln2(13x)|(113...
Find the Derivative - d/dk natural log of kx ( (ln)(kx)) 相关知识点: 试题来源: 解析 Differentiate using the chain rule, which states that ( d/(dk)[f(g(k))]) is ( f()' (g(k))g()' (k)) where ( f(k)=(ln)(k)) and ( g(k)=kx). ( 1/(kx)d/(dk)[kx]) ...
{eq}x=\log_ab {/eq}. A particular case is the natural logarithm, where the base is {eq}a=e {/eq}. Th derivative of the natural logarithm is, {eq}(\ln x)'=\dfrac{1}{x} {/eq}. Answer and Explanation: We have to find the derivative of the function, {eq}\bulle...
Find the Derivative r(t)=1/t*i+ natural log of tj+e^(2t)k( r(t)=1/t⋅ i+(ln)(t)j+e^(2t
For instance, the derivative of a two product function {eq}f(x) g(x) {/eq} is {eq}f^{\prime}(x) g(x) + g^{\prime}(x) f(x) {/eq} c) Derivative of a natural logarithm The derivative of the natural logarithm {eq}\ln{(x)} {/eq} is {eq}\frac{1}{x} {...
Find dy/dx if y is equal to : (tan x)^sin x + (log x )^x 05:56 Find dy/dx if y is equal to : x^(x^n) +x^(n^x) 04:17 Find dy/dx if y is equal to : {(tan x)^tan x } at x= pi/4 03:33 Find the derivative with respect to x of ((log)(cosx)sinx)((lo...