Cos-1 2x2-1
Cos-1 2x2-1
Differentiate the function with respect to x: d/dx (x3 - 2x2 - 5x + 6) = 3x2 - 4x - 5 Set this derivative = 0 and solve. 3x2 - 4x - 5 = 0 implies that x = -0.7863 or 2.1196 (to 4 dp)
A dot A = A2 do a derivative of both sides derivative (A) dot A + A dot derivative(A) =0 2(derivative (A) dot A)=0 (derivative (A) dot A)=0 A * derivative (A) * cos (theta) =0 => theta =90 A and derivative (A) are perpendicular
The derivative of e7x is e7 or 7e.The derivative of e7x is 7e7xThe derivative of e7x is e7xln(7)
Cos-1 2x2-1
4x
Cos-1 2x2-1
Cos-1 2x2-1
d/dx 2x2+3x+7=4x+3
The derivative of 2x2 + 4x + 8 is 4x+4.
2 x 2 = 4. 4 is a constant. The derivative of a constant is always 0. Therefore, The derivative of 2 x 2 is zero.
d/dx(1/2x) = -1/(2x2)
The antiderivative of x2 + x is 1/3x3 + 1/2x2 + C.
-1
A partial derivative is the derivative of a function of more than one variable with respect to only one variable. When taking a partial derivative, the other variables are treated as constants. For example, the partial derivative of the function f(x,y)=2x2 + 3xy + y2 with respect to x is:?f/?x = 4x + 3yhere we can see that y terms have been treated as constants when differentiating.The partial derivative of f(x,y) with respect to y is:?f/?y = 3x + 2yand here, x terms have been treated as constants.
f(x) = 3x4 - 2x2 + 7f ' (x) = 12x3 - 4xf ' ' (x) = 36x2 - 4