Advertisements
Advertisements
प्रश्न
If y = x and z = `1/x` then `"dy"/"dx"` =
पर्याय
x2
1
-x2
`(-1)/x^2`
Advertisements
उत्तर
-x2
APPEARS IN
संबंधित प्रश्न
Evaluate the following:
\[\lim_{x->∞} \frac{2x + 5}{x^2 + 3x + 9}\]
Evaluate the following:
`lim_(x->0) (sqrt(1+x) - sqrt(1-x))/x`
Examine the following function for continuity at the indicated point.
f(x) = `{((x^2 - 4)/(x-2) "," if x ≠ 2),(0 "," if x = 2):}` at x = 2
Show that f(x) = |x| is continuous at x = 0.
Find the derivative of the following function from the first principle.
x2
Find the derivative of the following function from the first principle.
log(x + 1)
Find the derivative of the following function from the first principle.
ex
Show that the function f(x) = 2x - |x| is continuous at x = 0
Verify the continuity and differentiability of f(x) = `{(1 - x if x < 1),((1 - x)(2 - x) if 1 <= x <= 2),(3 - x if x > 2):}` at x = 1 and x = 2.
For what value of x, f(x) = `(x+2)/(x-1)` is not continuous?
