How Does the Fundamental Theorem of Calculus Apply to Derivatives of Integrals? Homework Statement Homework Equations $$F(x)=\int_a^x f(x),~~F'(x)=f(x)$$ The Attempt at a Solution In F'(x), x is at the end of the domain a-x, so, in my function ##~\cos(x^2)~## i ...
I have attached a word document demonstrating the working out cos i was too lazy to learn how Latex primer works and writing it like I did above would've been too hard too read. I tried to make it as understandable as possible, presenting fractions as ' a ' instead of ' a / b ' ...
rule used to take the derivatives of fractions or rational functions. Basically, the mnemonic for the quotient rule talks about the higher term (numerator) and the lower term (denominator). The mnemonic of the quotient rule is "low de high minus high de low divided by low squared". ...
Synchronous fluorescence spectroscopy (SFS) combined with Gaussian band fitting, two-dimensional correlation (2D-COS) and perturbation-correlation moving-window two-dimensional (PCMW2D) can provide an excellent mothed to extract fluorescent components of dissolved organic matter (DOM) and reveal its variat...
Spring533723−−=xxydxdy.xxydxd67)(2−=2224+−=xxy0??044)(3=−=xxydxd 0)1(42=−xx20)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 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. ...
I am getting a little confused on which error propagation to use: I am looking to calculate the error in B*Cos(θ) , for the vertical axis of a williamson hall plot. where B is fwhm of a peak with it's own error and cos of the bragg angle I am unsure of whether i need to us...
ITAE (Integral of Time-weighted Absolute Error) takes into account the product of the absolute error and time, it emphasizes the system’s performance in the presence of long-standing errors in contrast to other performance metrics, such as Mean Absolute Error (MAE) or Mean Squared Error (MSE...
ITAE (Integral of Time-weighted Absolute Error) takes into account the product of the absolute error and time, it emphasizes the system’s performance in the presence of long-standing errors in contrast to other performance metrics, such as Mean Absolute Error (MAE) or Mean Squared Error (MSE...