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How would I differentiate a function of the form y=(f(x))^n?

A function of the form shown in the question is called a composite function, it is a 'function of a function'. It can be differentiated by expanding the brackets and differentiating each term individually...

MW
Answered by Matthew W. Maths tutor
3975 Views

Find the general solution for the determinant of a 3x3 martix. When does the inverse of this matrix not exist?

Let M be a 3x3 matrix s.t. M= |a b c| |g h i| |d e f|

Then Det(M)= a(Det(e,f,h,i))-b(Det(d,f,g,i))+c(Det(d,e,g,h).

Given that the determinant of a 2x2 matrix such as (e,f,h,i) is = ei-fh. Th...

OD
4936 Views

What is Functionalism in the Philosophy of Mind?

Functionalism in the philosophy of mind is a metaphysical view about mental states (e.g., beliefs, desires, perceptions, etc.). Qua metaphysical view, functionalism concerns what kinds of things mental st...

DL
17188 Views

Given a projectile is launched, from rest, at an angle θ and travels at a velocity V, what is the range and path of motion of the projectile? (Ignore air resistance.)

First, find the formula for the time taken, t, for the projectile to travel the distance. Using the fact that the projectile reaches a velocity of zero at a time of 0.5t when at its maximum height and acc...

OD
Answered by Oskar D. Physics tutor
6107 Views

If area of cube is 96, what is its volume?

64

MG
Answered by Maciej G. Maths tutor
1499 Views

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