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How do you find the minimum of the equation sin^2(x) + 4sin(x)?

The first step to solving this problem is to treat it as a normal quadratic equation; if you are struggling with comparing our equation to a normal quadratic, try substituting sin(x) = y into the equation as...
KS
Answered by Kirsten S. • Maths tutor
5532 Views

Two points have coordinates (1,-6) and (-2,3). Find the equation of the line which joins them, and their midpoint.

To find the line's equation, you need the gradient and the y-intercept. The gradient is found using: (y2-y1)/(x2-x1) Or simply (change in y direction)/(change in x direction) In this case, the gradient =(3+6...
KV
Answered by Kara V. • Maths tutor
7893 Views

Differentiate 4x^2 + 2ln3x + e^x

To differentiate x 2 you bring the power of x down, then reduce the power of x by 1, so d/dx(x 2 ) = 2x 1 ln3x differentiates to (d/dx(3x))/3x = 3/3x = 1/x e^x differentiates to (d/dx(x)) e^x = 1 e^x Therefo...
TM
Answered by Thomas M. • Maths tutor
8117 Views

Differentiate x^2+4x+9.

To differentiate you must look at each term separately. So for x^2 to differentiate we bring the two down to multiply in front of the x and then take one away from the power leaving 2x. For 4x, x is to the p...
IW
Answered by Iman W. • Maths tutor
6517 Views

How does the product rule for differentiation work

The chain rule works so that if you have y=f(x)g(x), where f(x) and g(x) are functions of x, dy/dx = f'(x)g(x) + f(x)g'(x)
JP
Answered by Jesse P. • Maths tutor
4952 Views