WebAbout Press Copyright Contact us Creators Advertise Developers Terms Privacy Policy & Safety How YouTube works Test new features NFL Sunday Ticket Press Copyright ... WebThe derivative of a function represents its a rate of change (or the slope at a point on the graph). What is the derivative of zero? The derivative of a constant is equal to zero, hence the derivative of zero is zero. What does the third derivative tell you? The third derivative is the rate at which the second derivative is changing.
Derivative Calculator: Wolfram Alpha
WebSolving this equation means finding a function y with a derivative f. Therefore, the solutions of Equation 4.9 are the antiderivatives of f. If F is one antiderivative of f, every function of the form y = F(x) + C is a solution of that differential equation. For example, the solutions of dy dx = 6x2 are given by WebWhen you have sec x = (cos x)^-1 or cosec x = (sin x)^-1, you have it in the form f (g (x)) where f (x) = x^-1 and g (x) = cos x or sin x. Below is the working for how to derive the derivatives of sec x using this: d/dx (sec x) = d/dx ( (cosx)^-1) = -1 * (cos x)^-2 * d/dx (cos x) = -1 * (cos x)^2 * (-sin x) = sin x/ (cosx)^2 = sec x * tan x razer ornata chroma replacement wrist rest
Derivatives of sec(x) and csc(x) (video) Khan Academy
WebThe derivative is an important tool in calculus that represents an infinitesimal change in a function with respect to one of its variables. Given a function f (x) f ( x), there are … WebMar 15, 2024 · Now, we find its derivative: Formula for chain rule says: h ′ ( x) = [ f ( g ( x))] ′ = f ′ ( g ( x)) × g ′ ( x) Hence, using the above formula, we get: d d x ( sec 2 x) = 2 sec 2 − 1 x × d d x sec x d d x ( sec 2 x) = 2 sec x × sec x tan x d d x ( sec 2 x) = 2 sec 2 x tan x Hence Proved Learn about Derivative of Root x and Derivative of Sin 2x WebDerivatives Derivative Applications Limits Integrals Integral Applications Integral Approximation Series ODE Multivariable Calculus Laplace Transform Taylor/Maclaurin … razer ornata keyboard typing