The derivative of a functionfis an expression that tells you what the slope offis at any point in the domain off.The derivative offis a function itself. In this article, we will focus on the functions of one variable, which we will callx. However, when there are more variables, it wor...
Answer to: Find the derivative of the following function. (a) f(x) = x (b) f(x) = x^2 + 4x - 7 (c) f(x) = x^7/7 (d) f(x) = 11 square root of x (e)...
Answer to: Find the derivative: square root {{e^{x^2} * cos (x^2)} / {3 x^2 - 1}}. By signing up, you'll get thousands of step-by-step solutions to...
Note: the little mark ’ means derivative of, and f and g are functions.Common FunctionsFunction Derivative Constant c 0 Line x 1 ax a Square x2 2x Square Root √x (½)x-½ Exponential ex ex ax ln(a) ax Logarithms ln(x) 1/x loga(x) 1 / (x ln(a)) Trigonometry (x is...
•|x|,abs(x)—absolute value •sqrt(x),root(x)—square root •exp(x)—e to the power of x •sgn(x)—sign function •y'—y′ •y'3—y′′′ •a+b—a+b •a-b—a−b •a*b—a⋅b •a/b—ba ...
Derivative f’ of function f(x)=arctan x is: f’(x) = 1 / (1 + x²) for all x real. To show this result, we use derivative of the inverse function tan x.
Cofunction Identities in Trigonometry (With Proof and Examples) Reciprocal Identities in Trigonometry (With Examples) Sum and Difference Formulas (With Proofs and Examples) Power-Reducing Formulas and How to Use Them (With Examples)
Answer to: Find and simplify the derivative of the following function. f(x) = square root of x (3x^4 - 2x^2) By signing up, you'll get thousands of...
Derivative of square root of x Derivative of sin x Derivative of ln x Derivative of ln u Derivative of inverse functions Derivative of exp x, e^x Derivative of exp(u) , exp(u(x)) Derivative of cos x Derivative of argsinh(x) Derivative of arctan x Derivative of arcsin x Derivative ...
Answer to: Find the derivative: f (x) = ln square root (x^2 cos x / (x + 3)^3). By signing up, you'll get thousands of step-by-step solutions to...