In calculus, the derivative of a constant is _____. A. 易六精特易六精特zero易六精特易六精特 B. 持正保而如情民论易除选光广林问造分持正保而如情民论易除选光广林问造分one持正保而如情民论易除选光广林问造分持正保而如情民论易除选光广林问造分 C. 增省值影地元机增省值影地元机...
Finding the derivative of a function is called differentiation. Basically, you calculate the slope of the line that goes throughfat the pointsxandx+h. Because we take the limit forhto 0, these points will lie infinitesimally close together; therefore, it is the slope of the function in the...
Derivative of a Constant Function: A constant function's change concerning a variable is always zero. Consider a function,f(x)=cxn, withcas a constant. We can easily differentiate this function asdydx=c⋅ddx(xn), and if we use the product rule on this function, we obtain the same o...
DERIVATIVECOUNTABLEUNCOUNTABLECOVERINGNEGLIGIBLEUsing elementary ideas and techniques, we prove (Theorem 2) that for a nonconstant differentiable function , a < b, the set S(f) = {x [a, b] : f'(x) ≠ 0} cannot be negligible. This result remains valid if f fails to be differentiable on...
Also, we use that the derivative of the constant function is zero. Answer and Explanation: Given {eq}f(x)=x^2+7x-2 {/eq} First, we have to find the derivative of the function Differentiate the function with respect to {eq}x ...
"The derivative of a constant times a function is equal to the constant times the derivative of the function."d dx 5x2 = 5· 2x = 10x. d dx 8x = 8· 1 = 8.This follows from Theorem 5 on limits, Lesson 2.Problem 1. Calculate the derivative of 4x2 − 6x + 2....
<p>To find the derivative of the constant function <span class="mjx-chtml MJXc-display" style="text-align: center;"><span class="mjx-math"><span class="mjx-mrow"><span class="mjx-mi"><span class="mjx-char MJXc-TeX-math-I" style="padding-top: 0.519em; pad
App Determining Intervals on Which a Function is Increasing or Decreasing 0 0 00:37 App 2015 AP Calculus AB: Applying Properties of Definite Integrals 2 0 00:55 App Derivative Rules: Constant, Sum, Difference, and Constant Multiple
If the integral of a function g(x) is G(x)=2x² + C (where C is a constant), then the derivative of G(x) is ___. A. 存选己低家总理四从何存选己低家总理四从何2x存选己低家总理四从何存选己低家总理四从何 B. 总包那际整且总包那际整且4x总包那际整且总包那际整且 C...
The derivative of the function x is equal to 12x. The derivative of the constant function is equal to zero. Answer and Explanation: We have given the function y=f(x)=x2−4x+4 This can be written as x2−4...