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Maths
A Level

What is the point of a derivative?

A derivative is a rate of change. For example, let y equal some function of x. Then the derivative of y with respect to x is asking how much y changes with respect to x. We can show this for any x and if ...

Answered by Maths tutor
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Find the equation of the tangent line to the graph of y=2x^4-7x^3+x^2+3x when x=5

y=-13x+12

Answered by Zyra A. Maths tutor
3020 Views

Find the differential of f(x)=y where y=3x^2+2x+4. Hence find the coordinates of the minimum point of f(x)

The differential of f(x) is f'(x)=6x+2 because we apply this basic formula: the differential of kxn = knxn-1 where k is a constant.This ...

Answered by Maths tutor
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The variables x and y are related by y = 5^x. How do I find the value of x when y is set to 15?

15 = 5^x, we can easily solve this equation by using logs on either side which will give us: log15 = x log 5. Then by solving this for x, we get the result of 1.68 to two decimal places.

Answered by Andrea B. Maths tutor
2621 Views

What is the differential of (14x^3-3x^2)^3

Chain Rule- Differential of the bracket x the initial power of the bracket x the initial bracketpower-1 --- So Differential of bracket is 42x2- 6x---

Answered by Maths tutor
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