Q: Why derivative is taken?

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Because it is calculated as the limiting value of the change divided by the time taken for the change, the limit being taken as the time interval becomes infinitesimally small. That is how the derivative with respect to time is defined.

"Derivative of"

well, the second derivative is the derivative of the first derivative. so, the 2nd derivative of a function's indefinite integral is the derivative of the derivative of the function's indefinite integral. the derivative of a function's indefinite integral is the function, so the 2nd derivative of a function's indefinite integral is the derivative of the function.

Trig functions have their own special derivatives that you will have to memorize. For instance: the derivative of sinx is cosx. The derivative of cosx is -sinx The derivative of tanx is sec2x The derivative of cscx is -cscxcotx The derivative of secx is secxtanx The derivative of cotx is -csc2x

The derivative of xe is e. The derivative of xe is exe-1.

Related questions

A speculator takes an open position in a derivative product (i.e., there is no offsetting cash flow exposure to offset losses on the position taken in the derivative product).

Because it is calculated as the limiting value of the change divided by the time taken for the change, the limit being taken as the time interval becomes infinitesimally small. That is how the derivative with respect to time is defined.

"Derivative of"

well, the second derivative is the derivative of the first derivative. so, the 2nd derivative of a function's indefinite integral is the derivative of the derivative of the function's indefinite integral. the derivative of a function's indefinite integral is the function, so the 2nd derivative of a function's indefinite integral is the derivative of the function.

Velocity is the derivative of position.Velocity is the derivative of position.Velocity is the derivative of position.Velocity is the derivative of position.

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)

Trig functions have their own special derivatives that you will have to memorize. For instance: the derivative of sinx is cosx. The derivative of cosx is -sinx The derivative of tanx is sec2x The derivative of cscx is -cscxcotx The derivative of secx is secxtanx The derivative of cotx is -csc2x

The derivative of xe is e. The derivative of xe is exe-1.

The derivative of 40 is zero. The derivative of any constant is zero.

the derivative is 0. the derivative of a constant is always 0.

The derivative with respect to 'x' is 4y3 . The derivative with respect to 'y' is 12xy2 .