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Find dy/dx for the following equation: f(x) = x^7 + 7x

Differentiation is used to calculate the rate of change. For example, if you have the speed of a car (velocity), and you want to find out the how the speed has changed over time (acceleration), you can di...

Answered by Tola S. • Maths tutor

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What is the role of white blood cells in the immune system?

White blood cells can have different roles and are important for protecting the body against pathogens. They can ingest a pathogen and destroy it, some produce antitoxins...

Answered by Anna W. • Biology tutor

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Describe the structure of silicon dioxide

A giant macromolecular covalent structure with a high melting point and covalent intramolecular bonds between all atoms.

Answered by Rohan K. • Chemistry tutor

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Integrate 2x^3 -4x +5

2x³- 4x + 5For integration we add 1 to the power, and divide by the new powerso: (2x³⁺¹ )/4 - (4x¹⁺¹)/2 +5x⁰⁺¹=1/2 x⁴- 2x²+ 5x

Answered by Anne Elizabeth G. • Maths tutor

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solve the 1st order differential equation 2y+(x*dy/dx)=x^3

1st we note our three methods for solving 1st order differential equation: separating the x and y variables to both sides of the equation, and integrating both sides with respect to x. Recognising an exac...

Answered by Douglas H. • Further Mathematics tutor

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