f (x)=tan (x) Using the limit definition of the derivative, which states that the derivative of f (x) is given by f' (x)=lim_ (Deltaxrarr0) (f (x+Deltax)-f (x ...

d/dx(tan^-1(x))=1/(x^2+1) We will use implicit differentiation. y=tan^-1(x) We can take tan on both sides (since it'll eliminate the inverse tan, and we already know how to differentiate it): …

The function f (x) = secx + cosx is convex at x=pi/3 To determine whether a function is concave or convex at a given point, recall that we find the second derivative of that function, and insert our given …

(0, 0) From Wikipedia: a critical point or stationary point of a differentiable function of a single real variable, f(x), is a value x_0 in the domain of f where its derivative is 0: f′(x_0) = 0 Thus, to find the …

How do you find the equation of a normal line to a curve at a given point? How do I find the integral #int (x*cos (5x))dx# ? How do you find the derivative of #y=x^tan (x)#? How do you find the derivative of …

What is the derivative of f (t) = (t3e1−t, tan2 t)? Calculus Parametric Functions Derivative of Parametric Functions

Questions and Videos on Special Limits Involving sin(x), x, and tan(x), within Calculus

Aug 13, 2017 · d du (u) = 1, but since d dx (u) differentiates with respect to x, not u, the derivative isn't 1. In terms of your problem, it's more helpful to write d dx tan(x) because it's clear that the derivative is …

Explanation: First, recall the formula: #d/dx (tan^-1 (x)) = 1/ (1+x^2)# We will need chain rule for our derivative: #d/dx (tan^-1 (x+1/x))# #= d/ (d (x+1/x)) (tan^-1 ...

dy/dx= ( (sec^2 (x-y)) (3+x^2)^2+ (y) (2x))/ ( (3+x^2)+ (sec^2 (x-y)) (3+x^2)^2) tan (x-y)=y/ (3+x^2) Take the derivative of both sides. d/dx (tan (x-y))=d/dx (y/ (3 ...