15. Use an anti-derivative to find an approximate value of Ssin x dx . Round to three decimal places.
find the derivative
Find the derivative of the function. y=9 eX + e 2x dy dx
Find the derivative of the function. y=9 eX + e 2x dy dx
Find the general anti-derivative for f(x) = 3x2 - 6x + 2 Find the anti-derivative for f(x) = 2x + 4 that passes through the point (3,0).
Find f x'e-s2 dx = S re-8x dx = S x4e-s2 d.x = sx"e-se dx = Now, find L (x) =
1) Compute the following anti-derivative. Be sure to give all details of the partial fraction decomposition. 1 x - 20 dx (x - 2)(x - 3)
L = sa V1 + [f'(x)]?dx = Se 1 + 2 dx dx Examples. Find the length of the arc of the following curves. y = Vx3 fromx = 1 to x = 4 2. y = {(x2 + 2) from x = 0 to x = 3 3. y=*+ from x = 1 to x = 3 (Ans:*) 2x 4. y + from x = 2 to x = 4 8x2 5. y = -x2 - In x from...
Find the particular antiderivative of the following derivative that satisfies the given condition. dy dx -3 = 2x + 8x - 1; y(1) = 0 y(x) =
3. Find the derivative of the following functions: (6 points) (a) x2y2- 10 = xey - 10x (b) x*(x+y) y3 (3x - y) (c) yex ycos(x2) dx 17 A is leaning aoainst a wall and sliding towards the floo
3. Find the derivative of the following functions: (6 points) (a) x2y2- 10 = xey - 10x (b) x*(x+y) y3 (3x - y) (c) yex ycos(x2) dx 17 A is leaning aoainst a wall and sliding towards the floo
Use the limit definition of a derivative to find dy/dx, given 𝑦 = x2 − 3x + 1.
(a) Find the derivative. y = In(4x – 5) – 3 In(x) dy dx (b) Find the derivative. 4x - y = = In dx State whether the function in part (b) is the same function as that in part (a). The function in part (b) is the same function as that in part (a). The function in part (b) is not the same function as that in part (a).