WebIf it's ln ( (2x+5)^3), then it equals to 3ln (2x+5), then f' (x)=3 (ln (2x+5))'=3/ (2x+5)* (2x+5)'=6/ (2x+5) If it's (ln (2x+5))^3, then the derivative equals to f' (x)= 3* (ln (2x+5))^2* (ln (2x+5))'=3* (ln (2x+5))^2* (1/ (2x+5))* (2x+5)'= [6 (ln (2x+5))^2]/ (2x+5). ( 3 votes) Show more... Vojtěch Pluskal 2 years ago At 5:25 WebMay 29, 2024 · Explanation: Alternatively, you could say: ln(cos2(x)) = 2ln(cosx) Then: d dx (ln(cos2(x))) = 2 ⋅ d dx (ln(cosx)) = 2 ⋅ −sinx cosx = − 2tanx Answer link
Calculus problems with answers - Find the derivative of the
WebSep 28, 2024 · The derivative of sin (x) is cos (x), and the derivative of cos (x) is - sin (x). Mathematically, this can be written as d dxsin(x) = cos(x) d d x sin ( x) = cos ( x) d dxcos(x) =... WebNov 10, 2011 · Derivative of cos(ln(x)) Thread starter Barthayn; Start date Nov 10, 2011; Tags coslnx derivative B. Barthayn. Sep 2009 162 5. Nov 10, 2011 #1 My next question … ios police testing
Derivatives of the Inverse Trigonometric Functions
WebThe Derivative tells us the slope of a function at any point.. There are rules we can follow to find many derivatives.. For example: The slope of a constant value (like 3) is always 0; The slope of a line like 2x is 2, or 3x is 3 etc; and so on. Here are useful rules to help you work out the derivatives of many functions (with examples below).Note: the little mark ’ … WebLearn how to solve differential calculus problems step by step online. Find the derivative using the quotient rule (d/dx)(ln(cos(x)^2)). The derivative of the natural logarithm of a function is equal to the derivative of the function divided by that function. If f(x)=ln\:a (where a is a function of x), then \displaystyle f'(x)=\frac{a'}{a}. The power rule for differentiation … WebBut ln (x) is a logarithmic function defined only for x-values greater than zero, while 1/x is a rational function defined for all non-zero x's. So would it be more accurate to say: the derivative of ln (x) is 1/x such that x is greater than zero? • ( … ios poly bridge