WebJul 26, 2024 · Compute the partial derivative of f (x)= 5x^3 f (x) = 5x3 with respect to x x using Matlab. In this example, f f is a function of only one argument, x x. The partial derivative of f (x) f (x) with respect to x x is equivalent to the derivative of f (x) f (x) with respect to x x in this scenario. First, we specify the x x variable with the syms ... WebRound your answers to the nearest integers. If there are less than three critical points, enter the critical points first, then enter NA in the remaining answer field (s) and select "neither a maximum nor a minimum" from the dropdown menu. X = X = X = is is W is. The figure below is the graph of a derivative f'.

calculus - Nth Derivative of x^(n-1) - Mathematics Stack Exchange

WebMath; Calculus; Calculus questions and answers; Find the derivative of: 0x5 HINT: recall that nxm=xn. Write your answer using a rational exponent: Write your answer using radicals without negative exponents: WebAnuvesh Kumar. 1. If that something is just an expression you can write d (expression)/dx. so if expression is x^2 then it's derivative is represented as d (x^2)/dx. 2. If we decide to use the functional notation, viz. f (x) then derivative is represented as d f (x)/dx. incentive\u0027s i

Solved Calculate the derivative \( \frac{d y}{d x} \) using - Chegg

WebSuppose the formula d/dx xⁿ = nxⁿ⁻¹ holds for some n ≥ 1. We will prove that it holds for n + 1 as well. We have xⁿ⁺¹ = xⁿ · x. By the product rule, we get d/dx xⁿ⁺¹ = d/dx (xⁿ · x) = … WebFind any critical numbers for the function f (x) = (x + 7) 10 and then use the second-derivative test to decide whether the critical numbers lead to relative maxima or relative … WebWe can use the Power Rule, where n = −1: d dx x n = nx n−1 d dx x -1 = −1x -1−1 = −x -2 = −1 x2 So we just did this: which simplifies to −1/x2 Multiplication by constant Example: … incentive\u0027s ie