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I don't understand chain rule for differentiation especially when combined with more complex functions.

The chain rule is a method that allows you to differentiate a function of a function, which can be of the form y = f[g(x)]. That is, g is a function of x and f is a function of g, which in turn is a funct...

Answered by Adamos S. • Maths tutor

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Find the values of y such that log2(11y-3)-log2(3)-2log2(y) = 1

Find the values of y such that log₂(11y-3)-log₂3-2log₂y = 1

Power law: 2log₂y = log₂y²

Product law: log₂(11y-3) -...

Answered by Joe P. • Maths tutor

16298 Views

How do you differentiate this

In differentaition, it is all about multiplying and taking away. Look at the first integer and the number that it is in the power off. You have to simply times the integer with the power of number and the...

Answered by Meghna D. • Maths tutor

2998 Views

Let y=arcsin(x-1), 0<=x<=2 (where <= means less than or equal to). Find x in terms of y, and show that dx/dy=cos(y).

First, the question asks us to find x in terms of y, or in other words, rearrange the equation to be in the form 'x=', rather than 'y=', as it is currently. We start wit...

Answered by Kalina M. • Maths tutor

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A ball is thrown vertically upwards with a speed of 24.5m/s. For how long is the ball higher than 29.4m above its initial position? Take acceleration due to gravity to be 9.8m/s^2.

To find how much time the ball spends above 29.4m, we need to find the times at which the ball is at 29.4m above its starting point, and then calculate the difference between these times. Ac...

Answered by Sherry B. • Maths tutor

11351 Views