# Derivative of cosx

* Derivative of cosx *We see that number 2 that FX is equal to Cos X the next step is F of X plus h is equal to cos of X plus h then by first principle of derivative we have F dash X is equal to repeat H tends to 0 f of X plus h minus FX totally divided by H not equal to limit H tends to 0 for f of X plus h we write cos of X plus h minus 4 F X we substitute kha’zix and all thing divided by H.

now here we apply the formula cos C minus cos D so that equal to minus to sign in brackets C plus D upon 2 into again sign in bracket C minus D upon to say in present case X plus h represents C and X represent D so the next step is is equal to the limit H tends to 0 minus to sign in bracket X plus h plus X upon 2 into sign in bracket X plus h minus X upon 2 and then whole thing divided by H so the next step will be limit H tends to 0 minus 2 into sign in bracket to express H upon 2 into the limit X tends to 0 sign in bracket we cancel plus X minus 6 so we left me H by 2 and in the denominator we have H.

## Derivative of cosx

so that we write H by 2 to get sine rule and into 1 by 2 so this is require adjustment so that equal to minus 2 we write as it is into sine in bracket 2 x 4 h we substitute 0 as a limit upon 2 into now let me extend to 0 sine of H by 2 upon H by 2 that gives 1 into 1 by 2 now you cancel – – from dominator denominator and again to find 2 from numerator denominator inside sine function so we left with only – sine X so in this way we prove a brush X is equal to minus sine X it means the derivative of cos x is minus sine X

Derivative of cosx sin x and cos x