Oct 3, 2020 · Because of the constant rule, d dx(k) = 0 d d x (k) = 0, where k is any constant. However in one of the practice problems: Differentiate integer powers (mixed positive and …

Jun 13, 2017 · The author seems to be re-applying the constant multiple rule on step 3 5 d/dt [t^1/2] = 5 as the constant, n as 1/2 and t to the power of (1/2 - 1) to derive step 4.

Dec 25, 2019 · The power rule only works for functions raised to a power, like x^3, x^4, (x+2)^5, or sqrt (x), etc. The power isn't a variable, it's a constant. When the power is a variable, like …

Oct 11, 2024 · Moreover, any calculus teacher will say "take the derivative of a constant" to mean "take the derivative of a constant function", so while understanding this subtlety is arguably …

Jan 10, 2023 · Chain rule with a constant gradient Ask Question Asked 2 years, 11 months ago Modified 2 years, 11 months ago

Sep 23, 2025 · Here variable x x is Treated as a constant and so the expression sin x sin x is also Treated as a constant, since we are integrating with respect to the variable y y. The function …

Feb 3, 2021 · They are still equal up to a constant (as usual with integration), since $$\log (2x+10)=\log (2 (x+5))=\log (x+5)+\log2$$ by the laws of logarithms. Another nice example of …

Dec 31, 2020 · I'd even go as far as saying that on a pure math track, multivariable calculus shouldn't be taught without first teaching linear algebra. Without it, multivar calculus just looks …

Apr 26, 2024 · Chain rule with a variable held constant (or along a constant surface) [duplicate] Ask Question Asked 1 year, 5 months ago Modified 1 year, 5 months ago

Dec 9, 2015 · This seems sort of fishy to me, however, as if you plug in 0 for h in the limit, you get an indeterminate. It might just be me, though, but it just doesn't seem entirely right to me. Is …