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Step-by-step Solution

Find the higher order derivative of $x+2x\cos\left(3x\right)$

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Step-by-step explanation

Problem to solve:

$\frac{d^2}{dx^2}\left(x+2x\cdot\cos\left(3x\right)\right)$

Learn how to solve differential calculus problems step by step online.

$\frac{d}{dx}\left(\frac{d}{dx}\left(x+2x\cos\left(3x\right)\right)\right)$

Unlock this full step-by-step solution!

Learn how to solve differential calculus problems step by step online. Find the higher order derivative of x+2x*cos(3*x). Rewriting the high order derivative. The derivative of a sum of two functions is the sum of the derivatives of each function. The derivative of the linear function is equal to 1. The derivative of a function multiplied by a constant is equal to the constant times the derivative of the function.

Answer

$\frac{d}{dx}\left(1+2\left(\cos\left(3x\right)-3x\sin\left(3x\right)\right)\right)$

Problem Analysis

$\frac{d^2}{dx^2}\left(x+2x\cdot\cos\left(3x\right)\right)$

Main topic:

Differential calculus

Related formulas:

5. See formulas

Time to solve it:

~ 2.86 seconds