Advertisements
Advertisements
Question
Choose the correct alternative:
If y = `(1 - x)^2/x^2`, then `("d"y)/("d"x)` is
Options
`2/x^2 + 2/x^3`
`- 2/x^2 + 2/x^3`
`- 2/x^2 - 2/x^3`
`- 2/x^3 + 2/x^2`
Advertisements
Solution
`- 2/x^3 + 2/x^2`
APPEARS IN
RELATED QUESTIONS
Find the derivatives of the following functions with respect to corresponding independent variables:
Draw the function f'(x) if f(x) = 2x2 – 5x + 3
Differentiate the following:
f(t) = `root(3)(1 + tan "t")`
Differentiate the following:
y = e–mx
Differentiate the following:
y = (2x – 5)4 (8x2 – 5)–3
Differentiate the following:
y = sin2(cos kx)
Differentiate the following:
y = (1 + cos2)6
Differentiate the following:
y = `"e"^(xcosx)`
Differentiate the following:
y = `sin(tan(sqrt(sinx)))`
Find the derivatives of the following:
y = `x^(logx) + (logx)^x`
Find the derivatives of the following:
(cos x)log x
Find the derivatives of the following:
`x^2/"a"^2 + y^2/"b"^2` = 1
Find the derivatives of the following:
`cos[2tan^-1 sqrt((1 - x)/(1 + x))]`
Find the derivatives of the following:
x = a (cos t + t sin t); y = a (sin t – t cos t)
Find the derivatives of the following:
`tan^-1 ((cos x + sin x)/(cos x - sin x))`
Find the derivatives of the following:
If y = sin–1x then find y”
Find the derivatives of the following:
If sin y = x sin(a + y), the prove that `("d"y)/("d"x) = (sin^2("a" + y))/sin"a"`, a ≠ nπ
Choose the correct alternative:
If f(x) = x tan-1x then f'(1) is
Choose the correct alternative:
If the derivative of (ax – 5)e3x at x = 0 is – 13, then the value of a is
Choose the correct alternative:
The differential coefficient of `log_10 x` with respect to `log_x 10` is
