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differentiate the following to find the equation for the gradient of the curve in terms of x and y: 3x^3 + 4x^2 + 5xy + 7y = 0

9x^2 + 8x + 5y +5xdy/dx + 7dy/dx = 0

9x^2 + 8x + 5y = dy/dx(-5x - 7)

dy/dx = - (9x^2 + 8x +5y)/(5x + 7)

HP
Answered by Hew P. • Maths tutor
4120 Views

Differentiate 8x^4 + 2x^2 + 10

Differentiating is a process to turn one expression into another, which has many uses in maths. Our expression is made up of three parts: 8x4, 2x2 and 10. 

JC
Answered by Jamie C. • Maths tutor
4096 Views

There's a school in India where only 60% of students have internet access. What is the probability of choosing eight students randomly, five of whom have internet access? (Info: Each student's internet access (or lack of it) is independent from all others

Imagine a bag of balls. Each ball represents a student, and those with A on them are students with internet access, while balls without an A are those without internet access. We know from the question, w...

JG
Answered by Josh G. • Maths tutor
3491 Views

Expand and simplify the expression (x+5)(x+8).

This question is about multiplying two brackets together. There are two parts to each bracket: x, +3 and x, +5. The parts in the first b...

JC
Answered by Jamie C. • Maths tutor
17669 Views

What does it mean to "complete the square"?

Completing the square is a useful method of rearranging a quadratic equation so the unknown ("x") only appears in it once. The theory of completing the square tells us that we can take a quadrat...

CG
Answered by Caitlin G. • Maths tutor
4234 Views

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