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प्रश्न
Choose the correct alternative:
If f(x) = x + 2, then f'(f(x)) at x = 4 is
विकल्प
8
1
4
5
उत्तर
1
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संबंधित प्रश्न
Find the derivatives of the following functions using first principle.
f(x) = – 4x + 7
Find the derivatives from the left and from the right at x = 1 (if they exist) of the following functions. Are the functions differentiable at x = 1?
`f(x) = |x - 1|`
Find the derivatives from the left and from the right at x = 1 (if they exist) of the following functions. Are the functions differentiable at x = 1?
`f(x) = sqrt(1 - x^2)`
Determine whether the following function is differentiable at the indicated values.
f(x) = x |x| at x = 0
Determine whether the following function is differentiable at the indicated values.
f(x) = |x2 – 1| at x = 1
Determine whether the following function is differentiable at the indicated values.
f(x) = |x| + |x – 1| at x = 0, 1
Determine whether the following function is differentiable at the indicated values.
f(x) = sin |x| at x = 0
Show that the following functions are not differentiable at the indicated value of x.
`f(x) = {{:(3x",", x < 0),(-4x",", x ≥ 0):}` , x = 0
The graph of f is shown below. State with reasons that x values (the numbers), at which f is not differentiable.
If f(x) = |x + 100| + x2, test whether f’(–100) exists.
Choose the correct alternative:
f y = f(x2 + 2) and f'(3) = 5 , then `("d"y)/("d"x)` at x = 1 is
Choose the correct alternative:
If f(x) = x2 – 3x, then the points at which f(x) = f’(x) are
Choose the correct alternative:
If pv = 81, then `"dp"/"dv"` at v = 9 is
Choose the correct alternative:
If g(x) = (x2 + 2x + 1) f(x) and f(0) = 5 and `lim_(x -> 0) (f(x) - 5)/x` = 4, then g'(0) is
