g(x) = 4ecoN " sin x, (0, ] COS

Q: Find f. f ''(?) = sin(?) + cos(?),    f(0) = 4,    f '(0) = 2

A: f''(x)= sin(x) + cos(x) , f(0)=4 ,f'(0) = 2

Q: Find h'(x) if h (x) (2 csc x) (5 sin x - 3x). O-2 cot2 x (5 sin x - 3x) O2 cotx (5 cotx - csc x) -2…

A: Givenhx=2cscx5sinx-3x We know that cscx=1sinx We know that dcscxdx=-cscx.cotx Product rule for…

Q: Let f(x) = 9 cos(sin(z°)). %3D Then f'(x),

A: Using the chain rule of differentiation,

Q: What is the 2nd derivative of x9 cos x

A: To find out the second derivative of the function.

Q: sin (Vx).cos (Vx) dx = ?

A:

Q: find two possible functions ff given the second- or third-order derivatives f'''(x)=cosx

A:

Q: If f(x) = sin(x³), find f'(x). 3x² cos(x³) Find f'(2). ४ OF

A:

Q: Scos x vsin x dx (sin x)i-(sinx) +C (sin x)i +(sinx)+c c. (sinx)- (sinx) + C (sinx)i +(sinx)+c A. B.…

A: ∫cos3xsinxdx

Q: 9. f(0) = (0 cos 0) sin 0

A:

Q: Solve d²y dx² cot x dy - sin² dx sin² x.y = cos x - cos³

A:

Q: Find f"(x) for the function f (x): = x cOS X

A: The given function is fx=xcosxTo find f''(x)

Q: (sin-'(cos(2x) + cos-'(sin(2x).

A: Given : ddxsin-1cos2x+cos-1sin2x

Q: Differentiate f (x) = cos (In x) e“.

A:

Q: If f(x) = cos(2x), then f"|

A:

Q: cosx + cosxcot’x secx

A:

Q: Find f. f ''(?) = sin(?) + cos(?),    f(0) = 5,    f '(0) = 2 f(?) =

A: Given that        f"( θ) = sin(θ)+cos(θ)  The initial condition is f(0)=5 and f'(0)=2 We have to…

Q: Determine f " (x) a. f(x) = cot (4x) + csc (x) b. f(x) = sin2 (x) tan(x)

A: Given a. f(x)=cot4x+cscxb. f(x)=sin2xtanx

Q: Find f"(0) = sin(0) + cos(0), f(0) = 1, f'(0) = 3 f(0) = %3D Need Help? Read It Watch It

A:

Q: If f(x) = e cosT, the second derivative f"(x) is:

A: The given function is fx=ex cosx. Evaluate the first derivative of the given function as follows.…

Q: Find f'(x) where f(x) sin(cos(4x2 +1))

A: Consider the given function

Q: Sin (플-) sec(-x) =

A: To solve sin[(π/2)-x] sec(-x)

Q: 1) Find the derivative of f(x) = 1+sin 2x %3D 2 cos3 x

A:

Q: 2, " cos“(x)sin*(x)dx

A: To find : ∫0π2cos6xsin4xdx

Q: Differentiate sin (x')

A:

Q: x" - x' - 2x = sin3t

A: Consider the given differential equation, x''-x'-2x=sin3t make the auxiliary equation,…

Q: Let f(x) = 3 cos(x) sin¬(x). Find f' (x). f'(x) =

A:

Q: "/2 cost x dx "/4 sin6 x

A:

Rate of Change

The relation between two quantities which displays how much greater one quantity is than another is called ratio.

Slope

The change in the vertical distances is known as the rise and the change in the horizontal distances is known as the run. So, the rise divided by run is nothing but a slope value. It is calculated with simple algebraic equations as: