Free derivative calculator - differentiate functions with all the steps. Type in any function derivative to get the solution, steps and graph

Differentiate using the chain rule, which states that d dx [f (g(x))] d d x [f (g (x))] is f '(g(x))g'(x) f ′ (g (x)) g ′ (x) where f (x) = x2 f (x) = x 2 and g(x) = csc(x) g (x) = csc (x). Tap for more steps... 2csc(x) d dx [csc(x)] 2 csc (x) d d x [csc (x)] The derivative of csc(x) csc (x) with respect to x x is −csc(x)cot(x) - csc (x) cot (x).

2018年4月13日 · What is the derivative of csc2(x)? d dx [csc2(x)] = − 2cotxcsc2x. csc2(x) = 1 sin2(x) d dx [csc2(x)] = d dx [1 sin2(x)] d dx [1 sin2(x)] = d dx [[sin(x)]−2] let u = sinx. d dx [[sin(x)]−2] = d du [u−2] d dx [sinx] d du [u−2] = −2u−3. d dx [sinx] = cosx. d dx [[sin(x)]−2] = − 2u−3cosx = − 2cosx sin3x. cosx sinx = cotx ⇒ − 2cosx sin3x = − 2cotx sin2x

By using the quotient rule and trigonometric identities, we can obtain the following derivatives: `(d(csc x))/(dx)=-csc x cot x` `(d(sec x))/(dx)=sec x tan x` `(d(cot x))/(dx)=-csc^2 x` In words, we would say: The derivative of `csc x` is `-csc x cot x`, The derivative of `sec x` is `sec x tan x` and The derivative of `cot x` is `-csc^2 x`.

What is the first derivative of y=csc^2(x) ? The first derivative of y=csc^2(x) is -2csc^2(x)cot(x) Study Tools AI Math Solver Popular Problems Worksheets Study Guides Practice Cheat Sheets Calculators Graphing Calculator Geometry Calculator Verify Solution

2020年10月5日 · There are two methods that can be used for calculating the derivative of cosec^2x. The first method is by using the product rule for derivatives (since csc 2 (x) can be written as csc (x).csc (x)). The second method is by using the chain rule for differentiation.

The calculator will find the derivative of $$$ \csc^{2}{\left(x \right)} $$$, with steps shown. Related calculators: Logarithmic Differentiation Calculator , Implicit Differentiation Calculator with Steps

The derivative of cosecant squared is equal to minus two contingent times cosecant squared, -2cot(x)csc 2 (x). We can find this derivative by using the chain rule and the derivatives of the fundamental trigonometric functions.

x^{2}-x-6=0 -x+3\gt 2x+1 ; line\:(1,\:2),\:(3,\:1) f(x)=x^3 ; prove\:\tan^2(x)-\sin^2(x)=\tan^2(x)\sin^2(x) \frac{d}{dx}(\frac{3x+9}{2-x}) (\sin^2(\theta))' \sin(120)

2022年11月8日 · Answer: the derivative of csc^2(x) is -2csc^2(x)cot(x). Firstly, we know that the derivative of csc(x) is -csc(x)cot(x). Then we will apply the chain rule.