Derivative of arcsin x Derivative $f’$ of function $f(x)=\arcsin{x}$ is: \(\forall x \in ]–1, 1[ ,\quad f'(x) = \dfrac{1}{\sqrt{1-x^2}}\) Proof Remember that function $\arcsin$ is the inverse function of $\sin$ : \[\left(f^{-1} \circ f\right)=\left(\sin ...
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 ...
c) Evaluate integral_1^{e^{10 {ln x / x} dx. What is the derivative of the trigonometric function cos x? What is the derivative of the trigonometric function tan x? 1. Find the derivative of the absolute value of x algebraically using |x| = \sqrt{x^2} Th...
Find the derivative of y = 2x - \tan x. Find the derivative of f(x) = (9\sqrt{x} + 5x)\left( -3x^2 - \dfrac{1}{x} \right). Find the 1^{st} derivative f(x)=\frac{-18x}{(x^{2}-9)^{2 Find the derivative of y = x \ln(x) + x. Find the derivative of f(x)...
Answer to: Use the definition of the derivative to find f'(x) if f(x) = 3x^2. By signing up, you'll get thousands of step-by-step solutions to your...
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. ...
d/dx sin(x) = cos(x) d/dx cos(x) = - sin(x) d/dx tan(x) = 1 - tan2(x) d/dx arcsin(x) = 1/sqrt(1-x2) d/dx arccos(x) = -1/sqrt(1-x2) d/dx arctan(x) = 1/(1+x2) Applications of the Derivative The derivative comes up in a lot of mathematical problems. ...
Frequently Asked Questions (FAQ) What is the derivative of arcsin(x/4) ? The derivative of arcsin(x/4) is 1/(sqrt(16-x^2)) What is the first derivative of arcsin(x/4) ? The first derivative of arcsin(x/4) is 1/(sqrt(16-x^2))...
Find the derivative of the function. f(x)=\textrm{arcsin}\;x + \textrm{arccos}\;x Find the derivative of y = tan^(-1)(ln x). Find the derivative of f(x) = (x^2-(x+1)^3)^2. Find the derivative of the function f(x)= \sqrt{\frac{1 - x}{1 + x Find the derivative...
Find the derivative of f(x)=3x2+2x2−3 a) −22x(x2−3)2 b) 3x2−2x+−1(x2−3)2 c) −x2+3x+1(x2−3)2 d) −6x(x2−3)2 Differentiation Rules: The process of find...