Terms : Hide Images
| 148925133 | d/dx sin x | cos x | |
| 148925134 | d/dx cos x | -sin x | |
| 148926999 | d/dx tan x | sec² x | |
| 148929952 | d/dx x^n | n x^(n -1 ) | |
| 150026959 | d/dx cot x | -csc^2 x Ashton Prasatek | |
| 150026960 | d/dx csc x | (-csc x) * (cot x) Desta Gebregiorgis | |
| 150060621 | d/dx lnx | 1/x Mackenzie Tocco | |
| 150064185 | d/dx e^x | e^x Caroline egan | |
| 150082843 | D/dx sec x | Sec x * tan x Courtney miller | |
| 150156632 | d/dx arctan, | f '(x) = 1 / (1 + x ^2) Kelsey McNeely | |
| 150159703 | d/dx b^x | b^xlnb Meghan Moore | |
| 150169459 | d/dx arccos x | -1 / sqrt( 1 - x^2 ) Taryn Dickson | |
| 150191864 | d/dx sec⁻¹(x) | 1 / (x * √(x² - 1)) Brock Nelson | |
| 150217194 | d/dx arc-cscx | -1/(abs val x) * (sqrt (x^2 - 1) Max White | |
| 150221660 | d/dx 2 / (x +1) | -2/ (x+1)^2 Ashley Gaabo | |
| 150224083 | d/dx [f(x)g(x)] | f(x)g'(x) + g(x)f'(x) Kelsey Young | |
| 150241127 | d/dx [f(x)/g(x)] | [f'(x)g(x) - f(x)g'(x)] / [g(x)]² Jillian Longton | |
| 150247240 | Power Rule | d/dx [x^n] = n(x^(n-1)) Andrew Markel | |
| 150251717 | l'Hôpital's Rule | If f(a)/g(b) = 0/0 or infinity/infinity then f(x)/g(x)= f'(x)/g'(x) Kelsie Darin | |
| 150254251 | Chain Rule | If y=f(g(x)), then y'=(df(g(x))/dg)(dg/dx). Mauli Patel | |
| 150257992 | Steps for Implicit Differentiation | 1) Differentiate both sides with respect to x 2) Collect all terms involving dy/dx on left 3) Factor dy/dx out of left side 4) Solve for dy/dx Laura Fleming | |
| 150266021 | d/dx [f(x)+g(x)] | d/dx [f(x)] + d/dx [g(x)] Julia Briggs | |
| 150281507 | d/dx [log (base b) x] | 1/(x* lnb) Kevin Adams | |
| 150285564 | arcsin x | 1/ (sqrt (1- x^2)) Jason Bull | |
| 150300147 | How can you tell the concavity of a function? | look at the second derivative. Where the second derivative is increasing it is concave up. If the second derivative is decreasing, it is concave down. Kelsey Kenaan | |
| 150328223 | How do you find the maximum and minimum of a function? | take a look at the first derivative. find the zeros, and do the chart from the left and right side in order to find where it is positive and where it is negative. if it is going from positive to negative, there is a maximum. if it is going from negative to positive, there is a minimum. if it is only positive or only negative, there is no maximum or minimum. Roshni Kalbavi. | |
| 150503055 | Differentiation Formula (d/dx [x^r]) | rx^(r-1) Austin Trethewey | |
| 150508440 | Definition of Derivative | F'(x) = lim f(x + Δx) -f(x) / Δx Δx-> 0 Anthony McAllister | |
| 150519755 | d/dx [f(x)-g(x)] | d/dx [f(x)] - d/dx [g(x)] Victoria Anderson | |
| 150652008 | Derivative of a constant function | d/dx [c] = 0 if c is any real number Alyssa Lawler | |
| 150652009 | d/dx [sq.rt u] | 1 / 2[sq.rt u] du/dx Christine Kim | |
| 150717904 | Product Rule | (der of 1st term)(second term) + (der of 2nd term)(1st term) Scottie Shermetaro | |
| 150720070 | Quotient Rule | ((der of top term)(bottom term) - (der of bottom term)(top term)) divided by bottom term^2 Scottie Shermetaro | |
| 150873715 | d/dx [log "base b" u] | u'/(ln b)u Patty Choi | |
| 151209262 | d/dx (x^2)/(x^3+1) | ((-x^4)+2)/((x^3)+1)^2 Whitney Raska | |
| 151295951 | Normal Line | The normal line to a function at a point is the line perpendicular to the tangent line at that point Jacob Clough | |
| 151365135 | d/dx (csc⁻¹(x)) | -1 / (x * √(x² - 1)) Jenn Schofding | |
| 151398596 | Local Linear Approximation | F(x₀+∆x)= f(x₀) + f'(x₀) ∆x Use local linear approximations are used to approximate nonlinear functions using linear ones. Kelsie Pittel | |
| 151405064 | d/dx[f inverse(x)] | 1/(f'(f inverse(x))) | |
| 151436638 | Slope of a parametric curve | With x=f(t), y=g(t). dy/dx=g'(t)/f'(t) Jon Kamman |
