WebNotice that at the points where f ( x) = sin x has a horizontal tangent, its derivative f ′ ( x) = cos x takes on the value zero. We also see that where f ( x) = sin x is increasing, f ′ ( x) = cos x > 0 and where f ( x) = sin x is decreasing, f ′ ( x) = cos x < 0. WebMar 26, 2024 · f ( x) = s i n ( 2 x) x 2, using the quotient rule to obtain: d y d x = 2 x 2 cos ( 2 x) − 2 x sin ( 2 x) x 4 d y d x = 2 x cos ( 2 x) − 2 sin ( 2 x) x 3 Share Cite Follow answered Mar 25, 2024 at 20:52 Joe Goldiamond 1,072 7 20 Add a comment 1 As an alternative by product rule f g = f ′ g + f g ′ with f ( x) = sin 2 x f ′ ( x) = 2 cos 2 x

Find the derivative of y

WebWe are asked to differentiate the given function; to do this we have to use the power rule and remember our trig identities when it comes to taking the derivative. f (x) = x 2 ⋅ sin ⁡ (x) f(x)=x^2\cdot \sin(x) f (x) = x 2 ⋅ sin (x) WebIf \( f(x)=\left\{\begin{array}{l}\frac{\sin 2 x}{5 x}, \text { when } x \neq 0 \\ k, \text { when } x=0\end{array}\right. \) is continuous at \( x=0, \), th... hope lutheran brighton iowa

Answered: II. Use the definition of the d… bartleby

WebWe are asked to differentiate the given function; to do this we have to use the power rule and remember our trig identities when it comes to taking the derivative. f (x) = x 2 ⋅ sin … WebThis problem has been solved! You'll get a detailed solution from a subject matter expert that helps you learn core concepts. Question: 2. f (x) = x cos x + 2 tan x 1-16 Differentiate. 1. f (x) = x2 sin x 3. f (x) = e' cos x 5. y = sec 8 tane 4. y = 2 sec x – csc x 6. g (0) = e (tan 8 - 0) f (t) = 7. y = c cost + t2 sin t 8. f (t) = cott e 10 ... WebQuestion: Find the derivative of the function. y=xsin(x2) y′(x)= 15 Points] Differentiate. f(θ)=θcos(θ)sin(θ) Show transcribed image text. Expert Answer. Who are the experts? Experts are tested by Chegg as specialists in their subject area. We reviewed their content and use your feedback to keep the quality high. longshoreman job description