d/dx(x + 2) = d/dx(x) + d/dx(2) = 1 + 0 = 1
y' = (sec(x))^2
The deriviative of sin2 x + cos2 x is 2 cos x - 2 sin x
2y + 2xy' + 4y + 4xy' = 0 6y + 6xy' = 0 y' = -y/x
y = x2 + 3/sqrt(x) = x2 + 3*x-1/2 dy/dx = 2x + 3*(-1/2)*x-3/2 = 2x - 3/2*x-3/2
sec^2(x)
y' = (sec(x))^2
The deriviative of sin2 x + cos2 x is 2 cos x - 2 sin x
2y + 2xy' + 4y + 4xy' = 0 6y + 6xy' = 0 y' = -y/x
y = x2 + 3/sqrt(x) = x2 + 3*x-1/2 dy/dx = 2x + 3*(-1/2)*x-3/2 = 2x - 3/2*x-3/2
sec^2(x)
Differentiate term by term. d/dx[X2 + 2X) = 2X + 2 slope(m) = 2 ------------------
x + x + 1 + x + 2 + x + 3 = -144x + 6 = 144x = 8x = 2
The derivative of ( x1/2 ) with respect to 'x' is [ 1/2 x-1/2 ], or 1/[2sqrt(x)] .
(x-2)(x^2+3)
x^3+x^2+2x = x(x^2+x+2)
The equation 5X plus 4X-2-2 times2 X-1 plus 3 X plus 2 equals 2. This is a math problem.
If you mean x squared + 9, you differentiate this as follows: Use the differentiation formula for a power, to differentiate the x squared. Separately, use the differentiation formula for a constant, to differentiate the 9. Finally, use the differentiation formula for a sum to add up the parts.