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itse...
A. increasing B. decreasing C. constant D. none of the above 相关知识点: 试题来源: 解析 A。如果函数在某一点的导数是正的,那么函数在该点是递增的。“increasing”是递增;“decreasing”是递减;“constant”是常数。反馈 收藏
"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....
We know that the graph of a constant function is ahorizontal line. And the rate of change or the slope of a constant function is 0. Similarly, the constant rule states that the derivative of a constant function is zero. Let c be a constant. If f(x)=c, then f'(x)=0. Alternativel...
, we will focus on the functions of one variable, which we will callx. However, when there are more variables, it works exactly the same. You can only take the derivative of a function with respect to one variable, so then you have to treat the other variable(s) as a constant....
Cofunction Identities in Trigonometry (With Proof and Examples) Reciprocal Identities in Trigonometry (With Examples) Sum and Difference Formulas (With Proofs and Examples) Power-Reducing Formulas and How to Use Them (With Examples)
partial, partial derivative - the derivative of a function of two or more variables with respect to a single variable while the other variables are considered to be constant 2. derivative - a compound obtained from, or regarded as derived from, another compound chemical compound, compound - (ch...
The graph of the derivative {eq}f {/eq} of a continuous function {eq}f {/eq} is shown. Determine at what intervals is {eq}f {/eq} increasing or decreasing? Application of derivatives: The rate of change of a function at a point...
Find the derivative of the following function. (a) {eq}f(x) = x {/eq} (b) {eq}f(x) = x^2 + 4x - 7 {/eq} (c) {eq}f(x) = \frac {x^7}{7} {/eq} (d) {eq}f(x) = 11 \sqrt x {/eq} (e) {eq}...
Consider the following derivative of a function:f′(x)=x−5/7(x+5). At what points, if any, does the function assume local maximum values? Local Maximum: The derivative of the function is given, making it easy to find the ...