Leeexinsun Leeexinsun

15-01-2022
Mathematics

contestada

A curve has equation
y = x²(x - 2)
Work out the gradient of the curve at the point (3,9).

Respuesta :

15-01-2022

Answer:

y = x^2 (x - 2) = x^3 - 2 x^2

dy/dx = 3 x^2 - 4 x

At x = 3 dy/dx = 3 * 9 - 4 * 3 = 15 The slope (gradient) of the curve

Answer Link

Otras preguntas

Which early hominid was probably not a direct ancestor of modern humans

When a product fails to perform as warranted,this is called

What solid is formed when rotating a square about a horizontal or vertical axis through the center of the square? a. cylinder b. square c. sphere d. cube Do

How many minutes a day should you aim for to manage stress with visualization as a tool?

A car is moving at a initial velocity of 20 meters per second accelerates at a rate of 1.5 meters per second squared for 4 seconds. What is the finally velocity

What is the first step in solving the equation x2-16/25=0

The war on normal people: the truth about america's disappearing jobs and why universal basic income is our future

When two or more melodic lines of equal interest are performed simultaneously, the texture is ______?

In what part of an article does a newspaper include all the key facts about the story

A boat can travel 48 miles downstream in 4 hours and can make the return trip in 6 hours. find the speed of the boat in still water.