derivative,derived function,differential,differential coefficient,first derivative- the result of mathematical differentiation; the instantaneous change of one quantity relative to another; df(x)/dx Based on WordNet 3.0, Farlex clipart collection. © 2003-2012 Princeton University, Farlex Inc. ...
205.8.9 Find the derivative of the function $y=\cos(\tan(5t-4))\\$ chain rule $u=\tan(5t-4)$ $\frac{d}{du}\cos{(u)} \frac{d}{dt}\tan{\left(5t-4\right)}\\$ then $-\sin{\left (u \right )}\cdot 5 \sec^{2}{\left (5 t - 4 \right )}\\$ replacing u with...
How to Calculate the Partial Derivative of a Vector in Spherical Coordinates? I have the following equations: \left\{ \begin{array}{l} x = \sin \theta \cos \varphi \\ y = \sin \theta \cos \varphi \\ z = \cos \theta \end{array} \right. Assume \vec r = (x,y,z), which ...
where Ω = 2π/T1. In general, the functional derivative on the l.h.s. of Eq. (5) depends on the whole setam, while the ordinary derivative on the r.h.s. is a function of the particular combination of these coefficients. To express this differently, suppose that we fix the pu...
Novel Object Recognition Memory Six days after peptide and drug injections, mice were placed individually in a squared open field (50 Â 50 Â 50 cm3 high) made in white Plexiglas with a floor equipped with infrared light-emitting diodes. On day 6 after peptide and drug injections, mice ...
0)1)(1(4=+−x x x 1 , 1 , 0 − = = = x x x 1 -1 1 2 2 (second derivative): 2 2 dx y d y = ′′ (y double prime, d squared y dx squared) 3 (third derivative): ) ( y dx d y′′ = ′′′ (y triple prime) ...
Homework Statement Compute Derivative y = xx + sin(x) Homework EquationsThe Attempt at a Solution since I have x in the exponent (x^x), I multiply both sides by ln: ln y = ln xx + ln sin(x) the x in the exponent comes out into the front, right? y'/y = x ln x + ln sin...
Derivative of two polynomials, one of them being squared Homework Statement find derivative of (x-2)(x-3)^2 Homework Equations using product rule. The Attempt at a Solution 1(x-3)^2+2(x-3) x^2-6x-9 +2x-6 x^2-4x-15 doesn't factor. ...
This is still somewhat ambiguous, as it is not clear exactly what is being squared. From you derivative, it seems to be this: h(x) = sin((x^2+1)^2). In the latter form it is clear that x --> x^2 + 1 --> (x^2 + 1)^2 --> sin((x^2 + 1)^2). Part of ...
Squared jerk is known to be a Lagrangian leading to the latter law. However, it leads to unbounded movements and is therefore incompatible with quasi-periodic dynamics, such as the movement of the tip of a pen drawing ellipses. To solve this drawback, we give a class of higher-derivative ...