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f(x) = x^3 + 3x^2 + 5. Find f'(x) and f''(x).

With differentitaion you multiply the fatcor it's raised by and minus one from the order e.g. y = x^n so y' = nx^(n-1) So f'(x) = 3x^2 + 6x and f''(x) = 6x + 6
NS
Answered by Nikita S. • Maths tutor
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Solve the equation (2x + 3 / x - 4) - (2x - 8 / 2x + 1) = 1

Solve the equation (2x + 3 / x - 4) - (2x - 8 / 2x + 1) = 1 Answer To start off, we must find the common denominator between the two fractions. When dealing with complex problems, which include letters and n...
JB
Answered by Jonathan B. • Maths tutor
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What is the equation of the tangent to the circle (x-5)^2+(y-3)^2=9 at the points of intersection of the circle with the line 2x-y-1=0

Teh points of intersection can be found by subbing in y=2x-1 to the equation of the circle. (x-5) 2 +(2x-1-3) 2 =5x 2 -26x+33=9 so we have 5x 2 -26x+24=0. Solving the quadratic equation gives x 1 =4 and x 2 ...
TD
Answered by Tutor67416 D. • Maths tutor
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State where most water reabsorption takes place in the kidney. State also the process by which the water is reabsorbed.?

Most water reabsorption takes place in the proximal convoluted tubules, part of the nephrons in the kidney. Water is reabsorbed by a process called osmosis; the diffusion of water from an area of high water ...
DR
Answered by Dearbhail R. • Biology tutor
43869 Views

When do I use the product rule as opposed to the chain rule?

The product rule is used when two functions of x are multiplied by each other, hence, product. So this can be used to differnetiatate 3x 2 * x+1 or more complex functions like sinxcosx. The chain rule is use...
LU
Answered by Lota U. • Maths tutor
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