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A curve has equation y=x^2 + 2x +5. Find the coordinates of the point at which the gradient is equal to 1.

dy/dx= 2x+2 , gradient is equal to 1 so dy/dx also equals 1.1=2x+2-1=2xx=-1/2plug this value of x into the equation to get y=17/4

NL
Answered by Nikhil L. Maths tutor
3364 Views

Find the derivative, dy/dx, of y = 8xcos(3x).

Let u= 8x then du/dx = 8Let v= cos(3x) then dv/dx = -3sin(3x)Therefore using the product rule: dy/dx = (cos(3x))(8) + (8x)(-3sin(3x))So dy/dx = 8cos(3x) - 24xsin(3x) .

JC
Answered by Joshua C. Maths tutor
3121 Views

what is a standing wave and how is it formed ?

A standing wave is the interference of two sinusoidal waves travelling in opposite directions, confining the wave and its energy to a fixed position, creating nodes and anti nodes .
nodes - points w...

DN
Answered by Danielle N. Physics tutor
1573 Views

Describe the formation and use of the pluperfect subjunctive

The subjunctive in general is used in six scenarios that can be summarised with the acronym WEIRDOWishes and desires Emotions Impersonal expressionsRecommendationsDoubt and Denial Ojalá (I hope/I pray)The...

AM
Answered by Angella M. Spanish tutor
1440 Views

How should I structure my personal statement?

It is important to remember that your personal statement should be 'personal'. Therefore, whilst you will need to tick boxes that the admissions tutors are looking for, it should also say somethi...

JP
1327 Views

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