WebSince π 4 π 4 is constant with respect to x x, the derivative of π 4 π 4 with respect to x x is 0 0. 0 0. WebTo solve this problem, we restrict the range of the inverse sine function, from -π/2 to π/2. Within this range, the slope of the tangent is always positive (except at the endpoints, where it is undefined). Therefore, the derivative of the inverse sine function can't be negative.

Derivatives: definition and basic rules Khan Academy

WebSep 7, 2024 · Exercise \(\PageIndex{4}\) Find the derivative of \(f(x)=\cot x .\) Hint. Rewrite \(\cot x \) as \(\dfrac{\cos x}{\sin x}\) and use the quotient rule. Answer \(f′(x)=−\csc^2 x\) The derivatives of the remaining trigonometric functions may be obtained by using similar techniques. We provide these formulas in the following theorem. WebNov 22, 2016 · How do you differentiate V (r) = 4 3 πr3? Calculus Basic Differentiation Rules Power Rule 1 Answer Jim G. Nov 22, 2016 V '(r) = 4πr2 Explanation: differentiate using the power rule Reminder ¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯∣∣ ∣ 2 2 d dx (axn) = naxn−12 2 ∣∣ ∣ −−−−−−−−−−−−−−−−−−−−−− ⇒ V '(r) = 3 × 4 3πr2 = 4πr2 Answer link how to restart a remote server

Chain rule (article) Khan Academy

WebDerivatives Derivative Applications Limits Integrals Integral Applications Integral Approximation Series ODE Multivariable Calculus Laplace Transform Taylor/Maclaurin Series ... {dx}\left(\pi\right) en. image/svg+xml. Related Symbolab blog posts. Practice, practice, practice. Math can be an intimidating subject. Each new topic we learn has ... WebCalculus Examples. Popular Problems. Calculus. Find the Derivative - d/dx y=pi^2. y = π2 y = π 2. Since π2 π 2 is constant with respect to x x, the derivative of π2 π 2 with respect to x x is 0 0. 0 0. WebWhat is the first derivative of V= (4/3)pi r^3 ? The first derivative of V= (4/3)pi r^3 is 4pir^2 north dhb