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Sentences with DIFFERENTIABLE

Check out our example sentences below to help you understand the context.

Sentences

1
"The function f(x) = 2x^2 + 3x + 1 is differentiable for all real numbers x."
2
"The function g(x) = |x| is not differentiable at x = 0."
3
"The function h(x) = sin(x) is differentiable for all real numbers x."
4
"In calculus, it is important to study functions that are differentiable."
5
"The differentiable function f(x) = sqrt(x) is defined for all positive values of x."
6
"The function y = log(x) is differentiable for all x > 0."
7
"A differentiable function is always continuous, but a continuous function may not always be differentiable."
8
"The function f(x) = 1/x is differentiable for all x ≠ 0."
1
"The function f(x) = 3x^2 - 2x + 1 is differentiable for all real numbers."
2
"A differentiable function must be continuous, but a continuous function is not necessarily differentiable."
3
"The derivative of a differentiable function gives the rate at which the function is changing at any given point."
4
"A differentiable function cannot have a jump or a sharp corner."
5
"The function g(x) = |x| is not differentiable at x = 0."
6
"If a function is differentiable at a point, then it must also be continuous at that point."
7
"The function h(x) = sqrt(x) is differentiable for all positive values of x."
8
"The sum, product, and composition of differentiable functions are also differentiable."
9
"The function f(x) = sin(x) is differentiable for all real numbers."
10
"The function f(x) = 1/x is differentiable for all x ≠ 0."
11
"A function can be differentiable on a closed interval without being differentiable at every point within that interval."
12
"The function f(x) = e^x is differentiable for all real numbers."
13
"The function f(x) = x^3 is differentiable for all real numbers."
14
"A differentiable function has a well-defined tangent line at every point in its domain."
15
"The function f(x) = 1/x^2 is differentiable for all x ≠ 0."
16
"The function f(x) = ln(x) is differentiable for all positive values of x."
17
"The function f(x) = x^(1/3) is differentiable for all real numbers."
18
"Differentiable functions are also continuous, but continuous functions are not necessarily differentiable."
19
"The function f(x) = 4x^2 + 3x - 2 is differentiable for all real numbers."
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