Advertisements
Advertisements
Question
Differentiate the following with respect to x.
x4 – 3 sin x + cos x
Advertisements
Solution
Let y = x4 – 3 sin x + cos x
`"dy"/"dx" = "d"/"dx" (x^4) - 3 "d"/"dx" (sin x) + "d"/"dx" (cos x)`
= 4x3 – 3 cos x – sin x
APPEARS IN
RELATED QUESTIONS
Differentiate the following with respect to x.
`5/x^4 - 2/x^3 + 5/x`
Differentiate the following with respect to x.
`(sqrtx + 1/sqrtx)^2`
Differentiate the following with respect to x.
`e^x/(1 + x)`
Differentiate the following with respect to x.
ex (x + log x)
Find `"dy"/"dx"` for the following function.
x2 – xy + y2 = 1
If xm . yn = (x + y)m+n, then show that `"dy"/"dx" = y/x`
Find `"dy"/"dx"` of the following function:
x = ct, y = `c/t`
Find y2 for the following function:
y = e3x+2
Find y2 for the following function:
x = a cosθ, y = a sinθ
If y = 500e7x + 600e-7x, then show that y2 – 49y = 0.
