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If h(x) = 2xsin(2x), find h'(x).

Differentiate using product rule as expression consist of two functions.Product Rule: d(f(x)g(x))/dx = g(x).f'(x) + f(x).g'(x)Chain Rule: d(f(g(x)))/dx = g'(x) . f'(g(x))
Let: f(x) = 2x f'(x) = 2 - s...

MS
Answered by Meer S. Maths tutor
3455 Views

A straight line runs through these two coordinates (1,5) and (4,7), find the equation of the line.

Given that the equation is a straight line we know that it will take the form of y = mx + c with m as the gradient and c as the y-intercept. We can find the slope by doing (y1- y2)/(...

DR
Answered by Daniel R. Maths tutor
2678 Views

How do you find the volume of a cylinder?

pi x r2 x height

WC
Answered by Will C. Maths tutor
3161 Views

Solve the simultaneous equations 3x=2y and 2xy=12

Answer:x=-2, y=-3 or x=2, y=3
Explanation:We can rewrite 2xy=12 as (2y)x=12, and since we know that 2y=3x, we can substitute this in to get the following equation: 3x^2 = 12. Solving this we get that...

SS
Answered by Scarlett S. Maths tutor
3130 Views

Differentiate the following: y = 3x^(1/3) + 2

Answer: dy/dx = x-2/3Explanation: When differentiating, we bring the power to the front and subtract 1 from the power to get the new power. So the first term becomes (3 x 1/3)x(1/3 - 1)

SS
Answered by Scarlett S. Maths tutor
2669 Views

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