Consider the function f(x) = х — 2 х — 4 -

Q: Find a function f and a positive number b such that f(t) dt t6 1+ 6x-3

A: To find a function f and a positive number b

Q: Let f (x) = x3 – 3x2 – 1, x 2 2. Find the value of df-1 at the point x = -1 = f (3). dx -

A:

Q: find an equation for the inverse fuction

A: Fin the inverse of the function f (x) = ln (x + 3). First replace f (x) with y as y = ln (x + 3)…

Q: find the diferential of the function when x = 2 and dx = 0.1 f(x) = x ln (x^3 + 2x - 4)

A: We will use the definition of differential.

Q: If f(x) = t* dt then f'(x) = f'(4) =

A:

Q: Find the derivative of the function. g(u) =√u+1(1 − 5u2)7

A: Write g(u) using exponent

Q: If f(æ) = [ V1+t° dt, then f'(x) = 1

A:

Q: 2²y. 3. Consider the function f(, y) =

A:

Q: 23 The derivative of the function f(x) = xª + is 23 4x3 (x²) 23 4x3 + (w³) 23 4x3 + (x) 1 4x 23 O 4x…

A:

Q: : Express the function f (x) = e") to the form u(x,y) + iv(x,y).

A:

Q: Find the linearization L(x) of the function at a. f(x) = Væ, a = -8 L(x) =

A: Consider the given information. fx=x3,a=-8 The linearization of the function is defined as,…

Q: Evaluate the function: dx (x+1)–Vx+1

A:

Q: Find the particular antiderivative F(x) of f(x) = 18x – 11 that satisfies F(1) . 8.

A: Given function , f(x)=18-x

Q: Compute d/dx f ( g (x)), where f (x) = x5, g (x) = 6x - 1

A: Given f(x)=x5, g(x)=6x-1

Q: 2. Find all the derivatives of f, given f(x) = x8 – 5x7 + 4x6 – nx* + 3x3 + 11.

A:

Q: If a F (z) = xy+ i (x² – y²), what is F(-1+ 2i)?

A: The given question  is related to complex numbers.  Given F(z)=xy=xy+i(x2-y2) We need to find…

Q: Differentiate the function In e* 8.) y = ex 7.) f(x) = e** – In :

A:

Q: 4) Determine the function F(x)=[ƒ(1)dt, where ƒ(x)=sgn(x-x²) for xe[-1,2]. -1

A: f(x) is discontinuous but F(x) is continuous

Q: 3 ) Express f(t) in terms of the unit step function u(t).

A:

Q: x and y are functions of a third variable t. If √√x + √= 5 and dt = 2, find when = dt 1

A:

Q: Q2: Let f(x) = 2x e-,x> 0 and Let Y = X2.Find G(y)and g(y). %3D

A: Implicit functions are the functions are not directly expressed, these are always expressed in terms…

Q: Consider the function f(x) = 12x+ 45x - 200x + 3. f(x) has inflection points at (reading from left…

A:

Q: Find the first and second derivatives of the function. f(x) = (7x² + 6)7/2 r'(M) = | 49x(7x² + 6)…

A:

Q: Compute d/dx f ( g (x)), where f (x) = x4 - x2, g (x) = x2 - 4

A: The symbol ddx is the symbol of the derivative of the function, hence differentiation of the…

Q: Find the function f(x) and all values of c such that

A: To find the function f(x) and all values of c such that∫cxf(t)dt=x2+x-2

Q: Differentiate the function. y=In(x²+e' y=In(x²+ean x)

A:

Q: 1. If F(x)= = ² e²² et² dt, find F(1) and F'(x). ez

A:

Q: Find of the function f(x,y) = sin(x²y³). əx3

A: The product rule of differentiation : (PQ)'=PQ'+QP' sinx'=cosxcosx'=-sinxxn'=nxn-1 Use the given…

Q: If f(x) = t°dt then = (x),f

A:

Q: Calculate f(0,0) and fy(0,0) of the given function (x³ + x* v3

A:

Q: If f is an odd function, why is S, f(x) dx = 0?

A:

Q: (a) Find the linearization of the function f(x) =x+ at x= a=1

A:

Q: a.) If     f(x) dx   = 4x9 − 8x6 + C, find f(x). f(x) =

A: Given: ∫fxdx=4x9-8x6+c                                          ..1 for finding fx, we differentiate…

Q: Find the second derivative of f (x) if ƒ (x) = (2x + 3)* %3D A) 4(2x + 3)³ (B) 8(2x + 3)3 (C) 12(2x…

A: Proceed as shown...

Q: Evaluate the derivative of the function: x2 f(x) = ( x²+1 8x (æ²+1)° O 8a(a² –1) (2²+1) O 1 4x…

A: Use the chain rule for finding the derivative

Q: 3. If f(x) = [ v19 +r² dt , find f'(3).

A:

Q: Find the linearization L(x) of the function at a. f(x) = Va, a = -8 L(x) =

A:

Q: of the functions f(t) = e² implified.

A:

Q: Find F′(x).

A: Given function - F(x) = ∫0x23t+1dtIntegrating with respect to t - F(x) = 3lnt+10x2…

Q: Find f"(0) for the function f(x) = (x+1)e².

A: Given query is to find the Indicated derivative

Q: find the diferential of the function when x = 2 and dx = 0.1 f(x) = 3 / (x-1) ^ 2

A: Given that f(x)=3(x-1)2 Take the derivative with respect to x, dfdx=-6(x-1)3df=-6dx(x-1)3

Q: (b) If g(x) = [,! 1 dt, find g'(x) 4+t2

A:

Q: 2. a) Find a formula for f1 for the function y = f(x) = vx – 35

A: To find f-1 for y=f(x)=√(x-35)

Q: 2 ,xs2 f(x) dx, where f(x) is denoted by f(x)={ 3x , x>2

A:

Q: Find the most general antiderivative of f(x) = -10x – (1 – x²)-1/2, where -1< x < 1.

A:

Q: Find the derivative. COSx a) f(x) = In %3D x2-4 4 b) g(x) = Vx + e2x + Tt

A: Given : (a) f(x)=ln(cosxx2−4)

Q: Find the first and second derivatives of the function. 14. f(x)= x to the 7/2+x to the 5/3-x to the…

A:

Q: d f. f "'(x) = cos(x), f(0) = 8, f '(0) = 8, f "(0) -) =

A: Given query is to find the solution of the differential equation.