2) The design commonly used in one residential community is of majestic doors and windows. In this community, the front window of a newly built house is 7 ft at the base and the top of the window is 12 ft above the eye of an urban developer observing it. At what horizontal distance should the developer stand if the angle subtended by the window is at a maximum?

Q: y = 4x° + 4x at (1, 2)

A:

Q: give an example of derivative

A: We have to give an example of derivative

Q: 6. f(x) = (5x7 + 19x³ + 2x – 12)²200 f'(x) =

A:

Q: 7. f(x) = 6e* + log2(7x² + 3x + 1) f'(x) =

A: Given: fx=6ex+log27x2+3x+1 Differentiating fx with respect to x, f'x=ddx6ex+log27x2+3x+1…

Q: Find the derivative of f(x) = (x-2x)2 A) f'(x) = 6x5 - 12x3+ 8x B) f'(x) = 6x5- 16x3 + 8x %3D C)…

A: Here we find the derivatives of function.

Q: Find the derivative

A: Find the derivative of fx=3x2x2+2x-1.

Q: "(x) = (sin(2æ + 1))²/*.

A: Consider the given function: Using the chain rule for differentiating the values in the function.

Q: [3 + x? cot(x²)]-3 -3[2x cot(x²) – 2x³ sec²(x²)] [3 + x² cot(x²)]4 A -3[2x cot(x²) + 2x³ sec² (x²)]…

A:

Q: Calculate the derivative.

A:

Q: у%3 (2х + 1)?(4х — 1)2

A: y=2x+134x-12

Q: 4х + 1 f(x) = 2 – 5x2

A:

Q: Compute the derivative.

A: Here, we use product rule of differentiation to find derivative of given function.

Q: find the derivative.

A: We know that , if Then, by Second Fundamental theorem of calculus, we have

Q: 2v f(v) = 2 - %3D 3

A: f(v) = 2 - 2v/3 We know that if, f(v) = vn Then, f'(v) = nvn-1

Q: 8. y = (3x² + 7)²

A: y=(3x2+7)2

Q: Take the derivative of the following: Dy= 3xe y = e (3) e y = @y= In () 10 Y=ln (In x)

A:

Q: Use the derivative method to find S(Comien, d=500) = ? 5 ( Comin, o=500) = ? Comin - Cr√d² w₂² with:…

A: We are given the following information. Cmin=Crd2-w2+Cb2-Cr2·wwith:Cr=30,000w=300Cb=45,000 Using the…

Q: calculate the derivative

A: Given expression

Q: y = V3x +7ex

A: