if:
f(x) = x3 - 4xe-2x
Then:
f'(x) = 3x2 - [ 4e-2x + 2(4x / -2x) ]
= 3x2 - 4e-2x + 4
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Derivative of sin x = cos x, so chain rule to derive 8x = 8 , answer is 8cos8x
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)
the derivative is 0. the derivative of a constant is always 0.
Derivative of 4x is 4.