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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
4509 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: 8x 4 , 2x 2 and 10. We differentiate each part seperately. The proces...
JC
Answered by Jamie C. • Maths tutor
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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, when...
JG
Answered by Josh G. • Maths tutor
4070 Views

What are the major components required for a oil accumulation to form.

For a hydrocarbon (oil or gas) accumulation to form a source rock, reservoir rock and cap/seal rock are required. A trapping mechanism is also essential and this can be structural or stratigraphic. A source ...
ZC
Answered by Zoe C. • Geology tutor
2852 Views

What are the differences between the preterite and the imperfect tenses?

Both tenses refer to actions in the past. The preterite is used to describe actions in the past that have been completed. Exampe: Fuí al baile anoche- I went to the dance last night. The verb ir is in the pr...
RK
Answered by Rositza K. • Spanish tutor
2197 Views