The product of two different trigonometric functions is given. We have to find its derivative. To find the derivative of this function, we will use two different rules in two different steps. One is the chain r
Find the first derivative with steps f(x)=\frac {1}{3} x^5 +7x^3 - 4x Find the first derivative y=(2x+8)^3(x+4)^2 Find the first-order derivative 4x\sqrt{2x^{2}+2x-1}. Find the first-order derivative. y=x^{2}\log_{2}(7-6x) ...
To find the derivative of the function f(x)=sin(2x) at the point x=π2, we will follow these steps: Step 1: Differentiate the functionWe start with the function:f(x)=sin(2x)To find the derivative f′(x), we apply the chain rule. The derivative of sin(u) is cos(u)⋅dudx,...
Steps on How to Find the Derivatives of Implicitly Defined Functions Step 1: Take the derivative of both sides of the given equation treating y as a function of x. Step 2: Rearrange the differentiated equation to solve for dydx. Vocabulary and Equations on How to Find the Derivative...
To find the derivative of y=(sinx)sinx for 0<x<π, we will use logarithmic differentiation. Here are the steps: Step 1: Take the natural logarithm of both sidesWe start by taking the natural logarithm of both sides:lny=ln((sinx)sinx)Using the property of logarithms, we can simplify th...
Related questions Topic Video Question Transcribed Image Text:Find the derivative: n[(x³ + 2) (x² + 3)] : 4x7 Evaluate S dx. Зx8 — 2 Evaluate S** dx. Expert Solution arrow_forward Step 1 Step by stepSolved in 2 steps with 2...
derivative formulas for exponential, polynomial, and trigonometric functions. **Derivative Steps (General Outline):** 1. **Identify Components:** - Exponential: \(3^{2x}\) - Polynomial: \(x^2 + 5\) - Trigonometric: \(\tan(5x)\) 2. **Use Product Rule:** -...
There are 3 steps to solve this one. Solution Share Step 1 Given curves is y=ekx. find the derivative dydx with respect to x: Since k is constant with respect to x, the der...View the full answer Step 2 Unlock Step 3 Unlock Answer UnlockPrevious question N...
Since 22 is constant with respect to xx, the derivative of 2x122x12 with respect to xx is 2ddx[x12]2ddx[x12]. 2ddx[x12]2ddx[x12]Differentiate using the Power Rule which states that ddx[xn]ddx[xn] is nxn−1nxn-1 where n=12n=12. 2(12x12−1)2(12x12-1)...
How to Find the Vertical Tangent General Steps to find the vertical tangent in calculus and the gradient of a curve: Find thederivativeof the function. The derivative (dy/dx) will give you the gradient (slope) of the curve. Find a value of x that makes dy/dx infinite; you’re looking...