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By first expanding the brackets, differentiate the equation: y=(4x^4 + 3x)(2x^2 - 9)

In this case the question has given you a clue as to the order that you solve the question. So, first we need to expand the brackets, multiplying each term by one another to get; y=8x^6 - 36x^4 + 6x^3 - 2...

PA
Answered by Patrick A. Maths tutor
3146 Views

Work out the equation of the normal to the curve y = x^3 + 2x^2 - 5 at the point where x = -2. [5 marks]

Firstly, we need to differentiate the function of the curve y = x^3 + 2x^2 - 5. Using d/dx (x^n) = nx^(n - 1), we get dy/dx = 3x^2 + 4x. To find the gradient of this curve, we then need to evaluate dy/dx ...

AG
Answered by Amy G. Maths tutor
3727 Views

Let f(x) = x^2 - 1. A vertical translation of 3 and a horizontal translation of -2 is applied. Write the new function g(x) in the form g(x) = ax^2 + bx + c

Let f(x) = x2- 1To apply a vertical translation, simply add the value to the overall equation. In this case it is p...

JH
Answered by Jack H. Maths tutor
2456 Views

What is 800 million in standard form?

Standard form is a way of writing really big numbers in what is often a more compact manner. It also makes a really large number more readable. To put a number in standard form we write it by having a num...

JF
Answered by Joel F. Maths tutor
37739 Views

Find the derivative y= x^2-6x+20?

The derivative is calculated by multiplying by the degree of the variable then taking taking away 1 from the degree.So to calculate the derivative of x^2 we multiple the variable (which is x) by the degre...

DD
Answered by David D. Maths tutor
3212 Views

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