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Find The Derivative Function Of The Function Ƒ

Consider the function . Find the derivative of f(x).

$f\left(x\right)=\frac{-2x}{\left(x+1\right)}$

$f\left(x\right)=\frac{-2x}{\left(x-1\right)}$

Calculate the derivative of the function .

$f\left(x\right)=\frac{1}{2\sqrt{x}}+6x$ ²

Given the function , find the derivative of h(x).

$h\left(x\right)=-\tan\left(x\right)$

$h\left(x\right)=\tan\left(x\right)$

Let Find the derivative of g(x).

$g\left(x\right)=3\cos\left(3x\right)-2\sin\left(2x\right)$

$g\left(x\right)=3\cos\left(3x\right)+2\sin\left(2x\right)$

Consider the function . Find the derivative of f(x)

$f\left(x\right)=6x$ ⁴ $-2x$ ² $-2x-3$ /(x²-1)²

$f\left(x\right)=6x$ ⁴ $-2x$ ² $-2x-3$ /( $x$ ²-1)²

Consider the function . Find the derivative of f(x).

$f\left(x\right)=2e$ ^2x $-6x$

$f\left(x\right)=2e$ ^2x $+6x$

Let Find the derivative of g(x).

$g\left(x\right)=3e$ ^3x $+\frac{1}{x}$

$g\left(x\right)=3e$ ^3x $-\frac{1}{x}$

. Given the function , find the derivative of h(x).

$h\left(x\right)=\frac{10x+3}{2\sqrt{5x+3x+2}}$

$h\left(x\right)=\frac{10x-3}{2\sqrt{5x+3x+2}}$

Let Find the derivative of g(x).

$g\left(x\right)=\sec$ ² $\left(x\right)+\sec\left(x\right)\tan\left(x\right)$

$g\left(x\right)=\sec$ ² $\left(x\right)-\sec\left(x\right)\tan\left(x\right)$

Determine the derivative of the function

$f\left(x\right)=\frac{4x}{2x+1}$

$f\left(x\right)=\frac{4x}{2x-1}$

Questions

Time

Score

Find The Derivative Function Of The Function Ƒ

Consider the function . Find the derivative of f(x).

$f\left(x\right)=\frac{-2x}{\left(x+1\right)}$

$f\left(x\right)=\frac{-2x}{\left(x-1\right)}$

Calculate the derivative of the function .

$f\left(x\right)=\frac{1}{2\sqrt{x}}+6x$ ²

$f\left(x\right)=\frac{1}{2\sqrt{x}}+6x$ ²

Given the function , find the derivative of h(x).

$h\left(x\right)=-\tan\left(x\right)$

$h\left(x\right)=\tan\left(x\right)$

Let Find the derivative of g(x).

$g\left(x\right)=3\cos\left(3x\right)-2\sin\left(2x\right)$

$g\left(x\right)=3\cos\left(3x\right)+2\sin\left(2x\right)$

Consider the function . Find the derivative of f(x)

$f\left(x\right)=6x$ ⁴ $-2x$ ² $-2x-3$ /(x²-1)²

$f\left(x\right)=6x$ ⁴ $-2x$ ² $-2x-3$ /( $x$ ²-1)²

Consider the function . Find the derivative of f(x).

$f\left(x\right)=2e$ ^2x $-6x$

$f\left(x\right)=2e$ ^2x $+6x$

Let Find the derivative of g(x).

$g\left(x\right)=3e$ ^3x $+\frac{1}{x}$

$g\left(x\right)=3e$ ^3x $-\frac{1}{x}$

. Given the function , find the derivative of h(x).

$h\left(x\right)=\frac{10x+3}{2\sqrt{5x+3x+2}}$

$h\left(x\right)=\frac{10x-3}{2\sqrt{5x+3x+2}}$

Let Find the derivative of g(x).

$g\left(x\right)=\sec$ ² $\left(x\right)+\sec\left(x\right)\tan\left(x\right)$

$g\left(x\right)=\sec$ ² $\left(x\right)-\sec\left(x\right)\tan\left(x\right)$

Determine the derivative of the function

$f\left(x\right)=\frac{4x}{2x+1}$

$f\left(x\right)=\frac{4x}{2x-1}$

Incorrect

Great!

Questions

Time

Score

Find The Derivative Function Of The Function Ƒ

Consider the function . Find the derivative of f(x).

﻿f(x)=−2x(x+1)f\left(x\right)=\frac{-2x}{\left(x+1\right)}f(x)=(x+1)−2x​﻿

﻿f(x)=−2x(x−1)f\left(x\right)=\frac{-2x}{\left(x-1\right)}f(x)=(x−1)−2x​﻿

Calculate the derivative of the function .

﻿f(x)=12x+6xf\left(x\right)=\frac{1}{2\sqrt{x}}+6xf(x)=2x​1​+6x﻿ 2

﻿f(x)=12x+6xf\left(x\right)=\frac{1}{2\sqrt{x}}+6xf(x)=2x​1​+6x﻿ 2

Given the function , find the derivative of h(x).

﻿h(x)=−tan⁡(x)h\left(x\right)=-\tan\left(x\right)h(x)=−tan(x)﻿

﻿h(x)=tan⁡(x)h\left(x\right)=\tan\left(x\right)h(x)=tan(x)﻿

Let Find the derivative of g(x).

﻿g(x)=3cos⁡(3x)−2sin⁡(2x)g\left(x\right)=3\cos\left(3x\right)-2\sin\left(2x\right)g(x)=3cos(3x)−2sin(2x)﻿

﻿g(x)=3cos⁡(3x)+2sin⁡(2x)g\left(x\right)=3\cos\left(3x\right)+2\sin\left(2x\right)g(x)=3cos(3x)+2sin(2x)﻿

Consider the function . Find the derivative of f(x)

﻿f(x)=6xf\left(x\right)=6xf(x)=6x﻿ 4 ﻿−2x-2x−2x﻿ 2﻿−2x−3-2x-3−2x−3﻿ /(x2-1)2

﻿f(x)=6xf\left(x\right)=6xf(x)=6x﻿ 4﻿−2x-2x−2x﻿ 2﻿−2x−3-2x-3−2x−3﻿ /(﻿xxx﻿ 2-1)2

Consider the function . Find the derivative of f(x).

﻿f(x)=2ef\left(x\right)=2ef(x)=2e﻿ 2x﻿−6x-6x−6x﻿

﻿f(x)=2ef\left(x\right)=2ef(x)=2e﻿ 2x﻿+6x+6x+6x﻿

Let Find the derivative of g(x).

﻿g(x)=3eg\left(x\right)=3eg(x)=3e﻿ 3x﻿﻿+1x+\frac{1}{x}+x1​﻿

﻿g(x)=3eg\left(x\right)=3eg(x)=3e﻿ 3x﻿﻿−1x-\frac{1}{x}−x1​﻿

. Given the function , find the derivative of h(x).

﻿h(x)=10x+325x+3x+2h\left(x\right)=\frac{10x+3}{2\sqrt{5x+3x+2}}h(x)=25x+3x+2​10x+3​﻿

﻿h(x)=10x−325x+3x+2h\left(x\right)=\frac{10x-3}{2\sqrt{5x+3x+2}}h(x)=25x+3x+2​10x−3​﻿

Let Find the derivative of g(x).

﻿g(x)=sec⁡g\left(x\right)=\secg(x)=sec﻿ 2﻿﻿(x)+sec⁡(x)tan⁡(x)\left(x\right)+\sec\left(x\right)\tan\left(x\right)(x)+sec(x)tan(x)﻿

﻿g(x)=sec⁡g\left(x\right)=\secg(x)=sec﻿ 2﻿﻿(x)−sec⁡(x)tan⁡(x)\left(x\right)-\sec\left(x\right)\tan\left(x\right)(x)−sec(x)tan(x)﻿

Determine the derivative of the function

﻿f(x)=4x2x+1f\left(x\right)=\frac{4x}{2x+1}f(x)=2x+14x​﻿

﻿f(x)=4x2x−1f\left(x\right)=\frac{4x}{2x-1}f(x)=2x−14x​﻿

Incorrect

Great!

$f\left(x\right)=\frac{-2x}{\left(x+1\right)}$

$f\left(x\right)=\frac{-2x}{\left(x-1\right)}$

$f\left(x\right)=\frac{1}{2\sqrt{x}}+6x$ ²

$f\left(x\right)=\frac{1}{2\sqrt{x}}+6x$ ²

$h\left(x\right)=-\tan\left(x\right)$

$h\left(x\right)=\tan\left(x\right)$

$g\left(x\right)=3\cos\left(3x\right)-2\sin\left(2x\right)$

$g\left(x\right)=3\cos\left(3x\right)+2\sin\left(2x\right)$

$f\left(x\right)=6x$ ⁴ $-2x$ ² $-2x-3$ /(x²-1)²

$f\left(x\right)=6x$ ⁴ $-2x$ ² $-2x-3$ /( $x$ ²-1)²

$f\left(x\right)=2e$ ^2x $-6x$

$f\left(x\right)=2e$ ^2x $+6x$

$g\left(x\right)=3e$ ^3x $+\frac{1}{x}$

$g\left(x\right)=3e$ ^3x $-\frac{1}{x}$

$h\left(x\right)=\frac{10x+3}{2\sqrt{5x+3x+2}}$

$h\left(x\right)=\frac{10x-3}{2\sqrt{5x+3x+2}}$

$g\left(x\right)=\sec$ ² $\left(x\right)+\sec\left(x\right)\tan\left(x\right)$

$g\left(x\right)=\sec$ ² $\left(x\right)-\sec\left(x\right)\tan\left(x\right)$

$f\left(x\right)=\frac{4x}{2x+1}$

$f\left(x\right)=\frac{4x}{2x-1}$