sin4x? Question:How do you find the nth derivative of sin4x?Derivative of any functionThe derivative of a function f(x) tells the rate of change of f(x) with respect to x. ddxsinax=acosxddxcosax=−asinx Differentiation:...
nth Order Partial Derivative: nth order partial derivative is simply a derivative of a function with k varibles n times. Every time we take the derivative wrt only one varible and consider all others constant. n derivatives are done in a sequence of varibles depending on the requirement. Answer...
To solve the given problem, we need to find the determinant of the matrix formed by y and its derivatives up to the 8th order, where y=sin(px) and yn is the nth derivative of y. 1. Define the function and its derivatives: - Let y=sin(px). - The derivatives of y can be comput...
Example 2: Finding the 4th Derivative of a Trigonometric Function Let's take a look at the following function: $$y=sin(2x) $$ We're trying to find the 4th derivative, so we are looking to find {eq}\frac{\mathrm{d^{4}} y}{\mathrm{d} x^{4}} {/eq}. ...
This formula comes from creating the nth order polynomial whose first n derivatives match the derivative of f at x=a. Answer and Explanation: Let f(x)=ex. It follows that f′(x)=exf″(x)=ex we can then see thatf(n)(x)=ex for all n and...Become...
Homework Statement I am trying to find the Tn(x) for sqrt[x] centered at a=1 Homework Equations The Attempt at a Solution right now i have...