Differentiate the function f(x)=ex+xe Differentiation Strategy: The derivative of the expression of the given type is solved easily with the following two formulas: One is the power rule that is given by:ddx(xa)=a⋅xa−1another is the formula of differentiation of exponential function:ddx...
These basic formulae can be used in the differentiation of complex functions. Answer and Explanation:1 We are given a trigonometric function {eq}y = \dfrac{\tan x}{\csc(2x)} {/eq}. On simplifying the given function, we get, $$\begin{align}... ...
COUNTIF Function The formula or syntax for the COUNTIF function is as follows: =COUNTIF(range, criteria) You will require the following arguments to perform a task with this function: ArgumentRequired/OptionalExplanation range Required Indicates the range of cells where the function will apply the...
Answer and Explanation:1 (a) Given functionf(x)=(2x3−5x)(3x+1) On simplifying we get f(x)=6x4−15x2+2x3−5x On... Learn more about this topic: Implicit Differentiation Technique, Formula & Examples from Chapter 6/ Lesson 5 ...
Function Differentiation Using Chain Rule | Formula & Examples from Chapter 8/ Lesson 6 51K Learn how to differentiate a function using the chain rule of differentiation. Find various chain rule derivative examples with various function types. ...
To differentiate the function y=(sin−1(x4))4 with respect to x, we will use the chain rule and the formula for the derivative of the inverse sine function. Here’s how to do it step by step: Step 1: Write down the functionWe start with the function:y=(sin−1(x4))4 Step ...
-u=1−sinxandv=1+sinx Now we need to findu′andv′: -u′=−cosx(since the derivative ofsinxiscosx) -v′=cosx Step 3: Apply the quotient rule Substitutingu,v,u′,andv′into the quotient rule formula: f′(x)=(1+sinx)(−cosx)−(1−sinx)(cosx)(1+sinx)2 ...
I´m trying to improve the formula a bit since it´s not always the 8th character. This means I have to check and edit the formula for each customer. However, it´s always the 2nd character from right so I´m trying to use the RIGHT function but can´t get it to work (ne...
This pattern suggests the following general formula for powers of n where n is a positive integer. Power Rule In fact, the power rule is valid for any real number n and thus can be used to differentiate a variety of non-polynomial functions. The following example illustrates some applications...
Answer and Explanation: Given Data: Function: {eq}g \left(x \right) = \sec \left(x\right)\cot \left(x\right) {/eq} Let us differentiate the function with respect to... Learn more about this topic: Trigonometric Functions | Definition, Formula & Examples ...