4
4x
d/dx 2x2+3x+7=4x+3
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)
An integral and an anti-derivative are the same thing. Integration means the process of finding the integral, just as anti-differentiation means the process of finding the anti-derivative.
The antiderivative of x2 + x is 1/3x3 + 1/2x2 + C.
Cos-1 2x2-1
4x
(-2 x2)' = -4 x
Cos-1 2x2-1
Cos-1 2x2-1
d/dx 2x2+3x+7=4x+3
y = 2x^(2) + 4x + 8 dy.dx = 2(2)x^(2-1) + 4x^(1-1) +8x^(0) dy/dc = 2(2)x^(1) + (1)4x^(0) + (0)8x^(0-1) dy/dx = 4x + 4 + 0 dy/dx = 4x + 4 *The derivative). NB #1 The original index number becomes a coefficient ( in brackets). Then subtract '1' from the original index value, for the new index value. #2 Any term raised to the power of '0' = 1. #3 Any term multiplied by '0' = 0.
The anti derivative of negative sine is cosine.
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)
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