(중). Differentiate f(x) = 1 Use exact values. You should simplify the cc 5 8 sin f'(x) = %3D M

Q: y = (In x)* xln x

A: Explanation of the answer is as follows

Q: Find and simplify the second derivative of f(0) = cos(sin(30))

A:

Q: Find the first and second derivatives.  f(x) = ln(5x+1)  Please explain and show how to do this…

A:

Q: Find the derivative of f (y) = 5 sin6 (yª).

A:

Q: Differentiate f (x) = sin Vx by the first principle

A: Here we use the formula

Q: 28. f(x) = sin x² %3D

A:

Q: 2. y = (cosx)(sin5x)

A: We will use product rule of differentiation to find the first derivative of this function. We will…

Q: Use the General Power Rule, Exponential Rule, or the Chain Rule to compute the derivative. y = (2…

A: Given function is   Differentiating both sides with respect to x, we get

Q: Verify Eq. (2): cosh2 x - sinh2 x = l.

A: To verify Eq. (2): cosh2 x - sinh2 x = l.

Q: Consider the function f(x) whose second derivative is f"(x) = 3x + 8 sin(x). If f(0) = 2 and f'(0)…

A: Consider the second derivative function, f''x=3x+8sinx Given, f0=2  and f'0=2 We need to find f(x).…

Q: Consider the function f(x) whose second derivative is f"(x) = 6x + 3 sin(x). If f(0) = 4 and f'(0) =…

A: Given,

Q: Find the derivative. Simplify where possible. g(x) =  e cosh 3x

A:

Q: Differentiate with respect to the independent variable: y=tan[ln(3x2+5)]

A:

Q: Consider the function f(x) whose second derivative is ƒ''(x) = 9x + 6 sin(x). If ƒ(0) = 4 and f'(0)…

A:

Q: Consider the function f(x) whose second derivative is f''(x) = 4x + 6 sin(x). If f(0) = 3 and f'(0)…

A:

Q: Differentiate with respect to the independent variable: f(x)= sin(9 ln(x) )

A:

Q: Consider the function f(x) whose second derivative is f''(x) 8x + 3 sin(x). If f(0) = 4 and f'(0) =…

A: Given : f"(x) = 8x + 3 sinx, f(0) = 4, f'(0) = 4,    To find : f(5)?

Q: 4. f(x) = -sin Зл PS = DCP 11 VS =

A: We have to find the amplitude, phase shift, vertical shift and period of the given function.…

Q: If y=1/(x)^6 + cos(x), calculating the derivative.

A: Given thaty=1x6+cos(x)

Q: What is the derivative of ln(sin x + cos x)

A: Consider the given function:

Q: Find the 40th derivative of the function f(x) = cos(x). The answer is function

A:

Q: Find the second derivative of f(x). f(x) = sin?(5x)

A: fx=sin25x

Q: What is the Derivative of the function; y = log10(1 − 4 tan x)

A:

Q: 1. cos(xy) + secy = 5

A: Differentiation is the process of determining the derivative also known as the derived function. one…

Q: Find the first derivative of y = cos4 x – sin4 x and y = x3   –  x2 cos x  +  2x sin x  + 2 cos x…

A:

Q: 20. Evaluate the derivative. 4 (sinh ) dx O

A: ddxsinh-1ex

Q: Differentiate the function y=ln(x5 sin2 x)

A:

Q: Find the second derivative of the function.

A: Find the second derivative of the function.           f(x)=x sinx

Q: В. f(x) = (sin ebx³ ). 3 |cot(26x) x4 -

A:

Q: Find the derivative. Simplify where possible. h(x)  =In(Cosh  x)

A: Given: h(x)=lncosh x To find: we have to find the derivative of h(x)

Q: Consider the function f (x) whose second derivative is f"(x) = 10x + 8 sin(x). If f (0) = 2 and…

A: Given function is

Q: Y=メ* Sinx+x (0) メ +X CO) メア

A: we also to derivative

Q: a. y = 400(2)*+3 sin 3x

A: We have to find first derivative

Q: Consider the function f(x) whose second derivative is f''(x) = 4x + 3 sin(x). If f(0) = 4 and f'(0)…

A: see the details solution in below

Q: 2/ Pind the Pirst derivative X. tan X. (3-2x ). 5x

A: Given equation is: y=x5.tan-1x3-2x.x3 To find the first derivative.

Q: Find the second derivative of the function. f(x) = sin(9x?) f "(x)

A:

Q: Explain graphically why there is no solution to cosh x = sinh x

A: cosh x = sinh x. We need to explain graphically why there is no solution to the given equation.

Q: Find the derivative of the function. y = cos(sqrt(sin(tan(9x))))

A: Compute the derivative of the given function as follows.

Q: what is -sinh(x) equal when x = 0

A: We know that   sinh(x)=ex-e-x2 Then -sinh(x)=-ex-e-x2 now substituting x=0 in the above equation…

Q: differentiate the function: y= ln(x^9 sin^2(x)) y'(x)=

A: Given function as

Q: Consider the function f(x) whose second derivative is f''(x) = 7x + 3 sin(x). If f(0) = 3 and f'(0)…

A:

Q: Find the 31th derivative of the function f(x) = cos(x). The answer is function

A: f(x)=cos(x) f'(x)=-sin(x) f"(x)=-cos(x) f"'(x)=sin(x)

Q: If f(x) = 4x(sin x + cos x), find f'(x). f' (x) = Evaluate the derivative at x = 5. Enter an…

A: First find derivative using product rule then put x=5

Q: Differentiate the function. f(x) = sin(2 ln x)

A: Chain rule is use to find the derivative of composite functions

Q: 5. Find the derivative of h(x) = cos(sin(cosx)).

A:

Q: Consider the function f(x) whose second derivative is f''(x) = 10x + 8 sin(x). If f(0) = 3 and f'(0)…

A: Given, f''(x)=10x+8sinx(x) After integrating the above equation,…

Q: Find the derivative  h(x)= sin(tan 2x)

A: Given,

Q: State the derivative. Do not simplify. f(x) = sin(ln(x))

A: To find the derivative of the function f(x).

Q: What is difference between the derivative of log(sin(x)) and the derivative of ln(sin(x))?

A: The difference between ln and log is the base of ln is e and the base of log is 10

Q: How would you find the 54th derivative of sin(x)? What is the pattern that occurs to allow you to…

A: Consider the function