WebNov 22, 2016 · In order to confirm if the value of x is really the maxima, we can proceed to the second derivative and substitute the x to the equation. If the result is a negative number, then the point is the maxima. Therefore, f (x) = (x^4/3) - (x^5/5) f' (x) = (4x^3/3) - x^4 = 0. thus x = 4/3. check if the point is really the maxima. WebFree Online Derivative Calculator allows you to solve first order and higher order derivatives, providing information you need to understand derivative concepts. …
Answered: Find the derivative of the function. 5… bartleby
WebThe derivative of a function is the measure of change in that function. Consider the parabola y=x^2. For negative x-values, on the left of the y-axis, the parabola is … WebAn antiderivative of function f(x) is a function whose derivative is equal to f(x). Is integral the same as antiderivative? The set of all antiderivatives of a function is the indefinite … song driver seat images
Derivatives: definition and basic rules Khan Academy
WebThe derivative of a function describes the function's instantaneous rate of change at a certain point. Another common interpretation is that the derivative gives us the slope of the line tangent to the function's graph at that point. Learn how we define the derivative using limits. Learn about a bunch of very useful rules (like the power, product, and quotient … WebExample 1: What is the derivative of x raised to 4 ? Solution: The derivative of x raised to 4 can be computed using the power rule. dx n /dx = nx n-1 Here, n = 4 dx 4 /dx = 4x 4-1 = 4x 3 Answer: d (x 4 )/dx = 4x 3 Example 2: Find the … WebQuestion. Transcribed Image Text: (a) Find a function f that has y = 4 – 3x as a tangent line and whose derivative is equal to ƒ' (x) = x² + 4x + 1. (b) Find the area under the curve for f (x) = x³ on [−1, 1]. e2t - 2 (c) Determine where the function is f (x) = cos (t²-1) + 3 (d) Express ² sin (x²) dx as limits of Riemann sums, using ... song driver\u0027s seat lyrics