55. Calculate f(x) dx, where 12 – x? for x < 2 f (x) = |x³ for x > 2

Q: пу Show that if y = ax" where a is a real number and n E N, then dx where x + 0. 1 Given that f(x)…

A:

Q: Which function has the same derivative function f (x) as g(x) = Inx + x? – x? Select one: O a. f(x)…

A: Given function is : gx=lnx+x2-x

Q: Find for the following function. dx 6 cos x y = 6-5 cos x dx

A: To find the derivative of y.

Q: Use the second derivative test to find the extreme values of the function J () = x³ – su² 24X .

A:

Q: then find f(x). | f(x)dx = = ln([x]) In(x) - sec(x) - 4e + 2 -x + 6x + C

A: The integration of f(x) equal to the;  ln(|x|)-sec(x)/3 -4ex/4+x2/2 +6x +C.

Q: Suppose f(x) = e**+5x+7. Find the df derivative dx f'(x) =

A: We have to find

Q: Compute the derivative: d 4 dx x2 5 x=1 The derivative is:

A: The solution of the problem is given in the next step.

Q: Q5: Find for the following functions: dx (4) y = x sinh 2x-cosh 2x (3) y = e* sin² x In√x

A: See this solution in below

Q: The derivative of y tanhf(x?)) equals ー1 Select one: x²f'(x) + 2xf (x) = = (x),ƒ xz 1-x² 2x f'(x?)…

A:

Q: Given a function f with input that has the dimension [x] = L-M-T-1, such that [f(x)] = L-M, find the…

A:

Q: Find for the following function. dx 5 cos x y= 6-7 cos x dx

A:

Q: if f'f′ is the derivativeof ff with 2∫1f'(x)dx=10∫12f′(x)dx=10 and f(2)=4,f(2)=4, then f(1)

A:

Q: The actual error when the first derivative of f(x) = x - 3ln x at x = 3 is approximated by the…

A: Solution:-

Q: I the second derivative of the function F(t) = 7tsin(º). ver F"(1) =

A:

Q: 2) Given: f(x) = x+sin(2x) over the interval (0,7) a) Use a sign analysis to find the relative…

A:

Q: 4. Differentiate the following function.   y=5e x−5x dy/dx=nothing   Enter your answer in the…

A:

Q: - Find the derivative o y with respect to n ort. 4 4 16

A:

Q: Find the following derivative In (x) dx 3 In (x) + 4 In (x) dx 3 In (x) +4 d. 이증

A: Formula

Q: Calculate the error of approximation with EA for the following functions Fix) = In 3x. when x = 4…

A: EA = 0.0030056

Q: 6. f(x) dx = 2, find If f is continuous and xf(x2) dx.

A: given f is continuous and ∫09 f( n) dx = 2 we have to find ∫03 xf (x3) dx = ? we solve this by the…

Q: Find dy /dx for the following function: y = Inln2!nx

A:

Q: dy Find for the following function: dx 1- y = etan'x 2- x³y + x²y = 2 at x = 2 3- y = log4(x³ – x)

A: Finding Derivatives by applying chain rule of derivative

Q: Determine for what values of x the function f(x) = 32 ln(x) − x^2 + 6x − 5 has a tangent line with…

A:

Q: Suppose f(x) = In(x³ + 5x + 7). df Find the derivative dx f' (x) =

A:

Q: Let f(x) = derivative f'(x) equals o. e. Find the value of x for which the second

A: Given that: f(x)=32x2-ex

Q: Find dy/dx for f(x)=(Inx)x^2

A: Given:y=fx=lnxx2We need to find: dydx

Q: 6. Find [ f(x)dx if f(x) = et -1, if -3<x<0 V9-x², if 0<x<3

A:

Q: Find the derivative: n[(x³ + 2) (x² + 3)]. Evaluate S dx. Зx8 — 2 2x*- x2 Evaluate dx.

A:

Q: Find a nonzero value for the constant k that makes the function tan(kx) x < 0 f(x) = Зх + 2k?, x 2 0…

A:

Q: Q1) Find dy /dx for the following function: y = Inln2inx

A:

Q: 8. Find the derivative of (logsx?). dx 2 A. x In 5 1 В. x In 2 С. x In 5 D. 2x In 5

A: Solving the problem by finding the value of the derivative. For the question no 8. Option A is…

Q: Find the following derivative In (x) dx (In (x) +2) d In (x) dx In (x) +2 d

A:

Q: Q2. Derive the following formula for approximating the derivative f": ƒ"(x) ≈ : (-f(x+2h) +16f(r+h)-…

A: To show:- f''x ≈112h2  -fx+2h + 16 f(x+h) -30 f(x) +16 f(x-h) - f(x-2h)

Q: Evaluate dy for f(x)= (square root of x) +3 where x=9 and dx=0.12

A:

Q: Find the following derivative In (x) dx In (x) +2 d In (x) dx In (x) +2 d 이종

A: NOTE: Refresh your page if you can't see any equations. . use the quotient rule for derivatives

Q: Find f(2x)dx if f(x)dx = 1. Enter the exact answer. f(2x)dx

A:

Q: 14. Evaluate y" or d'y of the function when x = 0. dx'

A: To find the y'''for the given equation 13x3+13y3=132  at x=0

Q: 3. In the interval 0<x<4 of the second derivative test, f(x) is Oa. Changes direction O b. Not…

A: (3)second derivative testf''(x)&gt;0 ,   f(x) is concave upf''(x)&lt;0 ,   f(x) is concave down

Q: Q4) Find dy /dx for the following functions: x+ tan(xy) = n y = xcosx

A: 1) x+tan(xy)=π Differentiating the function w.r.t. x:…

Q: 8.What is the derivative with respect to a of f(x) = (5 – x2)²? оА. (5 — а?) (5 — а*) O B. 2(5 – a?)…

A:

Q: Evaluate the second derivative of e22.1.png ... acos(byx) f(x) x2 if a = 165 and b = 0.3 at x = 3…

A: Follow step 2nd and 3rd.

Q: Q21\ Find the value of (B) that make the function below continuous at x=0, tan 5x f(x) = x=0

A: NOTE: Refresh your page if you can't see any equations. . the function is continuous at x=0, when

Q: 1) For #31-34, evaluate each derivative. d 3 dx ' sec /a* dx d. | ytan tdt dx

A: As per the company guidelines we can solve first three parts . I hope that the given solution will…

Q: Differentiate the following function. y=3ex−3x dy/dx= ?

A: Solution of the problem as follows

Q: Find for the following function: dx 1- y = log2 cosh(2x) 2- y = e(x+1) 3- xy + x²y 3 at x = 1

A: Here, We need to find the derivative of the given functions. To solve these questions, we need chain…

Q: Given f(x) In(5x) the derivative 5 f'(x) is 1 5x 1 5x O 5 O x5x 1

A:

Q: What is the first derivative with respect to x of the function g(x)= 4/9 * О 4/9 O 4 O 12

A:

Q: For which  x value(s) is the function  f ( x ) = sin ^− 1 ⁡ ( 2 x )  defined and not differentiable?

A: Given that the function is       f(x) = sin-1(2x)  Here we have to find those values of x, in which…

Q: Find for the following function: dx 4- y = In2 5- tan-1 V4x - 5

A: Topic : differentiation

Q: Find the actual error when the first derivative of f(x) = sin(2x) at x = n/8 is approximated by the…

A: