The function f(x) = 7x+ 1 is one-to-one. Find an equation for f '(x), the inverse function. = (x), - (Type an expression for the inverse. Use integers or fractions for any numbers in the expression.)

Q: f (x) = (x² – 1)**1

A:

Q: Find the second derivative of the function. f(x) = 205√x

A: We use the power rule to find the first derivative

Q: Find the derivative of the inverse function for y=2x3−1 and calculate its value at x=2.

A:

Q: Find the derivative of the function f(x) = ln(3x2 + 2x)

A:

Q: Find an equation for the function f that has the given derivative and whose graph passes through the…

A: By the fundamental theorem of calculus if we have F(x)=∫f(x)dx then F'(x)=f(x). In some cases an…

Q: Find the second derivative of f(x) = 2x+1/x-4

A: Here, we need to find the second derivative of f(x)=2x+1x-4. So,           f''(x)=2x+1x-4''…

Q: Given f(x) = x² + 1, x 2 0, Find the derivative of the inverse at the point (5, 2) (do not find f-1)

A: Let's find.

Q: Find the second derivative of the functionf(x) 3Vx+2 2x+1

A: Given

Q: Find the derivative of the function. f(x)= (4x^3+2x)(x-1)(x+4)

A: To find the derivative of the function f(x)=(4x³+2x)(x-1)(x+4)

Q: Find the value of x , for which the second derivative of the function f(x) = x - 3x² is equal to…

A:

Q: Find the second derivative. f(x) = 7e¯x – 6e-7x | f"(x) :

A: First derivative is f'(x)=7e-x(-1)-6e-7x(-7)=-7e-x+42e-7x

Q: The derivative of the function f(x) = 4x-1 is

A:

Q: Find the second derivative of function, and then find ƒ″ (1)  and ƒ″ (−3) .

A: Our Aim is to find the second derivative of…

Q: If f(x) = 3 + x + ex , find ( f-1)' (4)     The derivative of the inverse in 4

A: The given function is,                  f(x) = 3 + x + ex We want to find the value of (f-1)'(4). We…

Q: Find the derivative of the function. h(x) = (4x3 + 2x + 5)/x

A: Given that h(x)=4x3+2x+5x

Q: Find the second and third derivative of the function (a) f(x) = x6 – 3.x5 – 41x – 73 - |

A:

Q: Find the second derivative of function, and then find ƒ″ (1)  and ƒ″ (−3) .

A: Given, f(x)=9x3+1x On differentiating both sides w.r.t x we get:…

Q: . Y= In (- (x-2)2

A: To solve the second derivative of the function

Q: Find the second derivative of the function h. h(x) = (10 – x2) (5x + 17)

A: Here, h(x)=(10-x2)(5x+17)

Q: Find the third derivative of the function f(x) = (1) / (2x-1)

A:

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

A:

Q: FIND THE SECOND DERIVATIVE OF THE FF IN ITS SIMPLIFIED FORM 3. y = ln (x3(x-1)/(x-2)2)

A: using the properties of log lnmn=lnm-lnnlnmn=lnn+lnmlnmn=nlnm As per our guidelines we are supposed…

Q: From a function f(x) = 5000 x2 - 7000x + 12000   Find the first and second derivatives

A: dxndx = nxn-1 dcfxdx = c df(x)dx ; where 'c' is constant.

Q: Find the second derivative for the function f (x) = 4e . 1 - 2x3

A: Given: fx=4ex-12x3 for finding second derivative of given, we find first derivative then find…

Q: Find the derivative of the algebraic function.

A: Differentiation is the process of finding the rate of change of one variable with respect to another…

Q: Find the derivative of the function. f(x) = (2x − 3)4(x2 + x + 1)5

A: Given function is

Q: Find the first and second derivatives of the function. f(x) = 10x10 + 7x7 - x f'(x) = f"(x) =

A: We can solve the problem by doing the derivative of the function.

Q: Find the first, second and third derivative of f(x) = 5x" – 2x* + 3x² + Vx.

A: Given,

Q: Find the derivative of the function. f(x) = 8x +3/x2

A: We have to find the differentiation of the function: fx=8x+3x2 This will be differentiate by…

Q: Find the second derivative of the function.       f(x) = x2 + 3x−3

A: Given: fx=x2+3x-3

Q: Find the derivative of the function. f(x) = (3x + 2)3(x2 + x)2

A: Differentiation use product formula

Q: Find the f derivative of x given f(x)=(3x)^-1

A: Calculation:Compute the derivative of f(x) = (3x)−1 as follows.

Q: Find the derivative of the function. h (x) = x (4 + 4x)

A: Given : hx=x4+4x

Q: Find the second derivative of the function. In(x) f(x) = + 6x? -4x° – 18xln(x) + 3-6 ln(x) + 12…

A:

Q: Find the second derivative of the function. f(x) = (3x° + 6)*

A:

Q: Find the first and second derivative of the function. f(x) = 4x – 5x/10 f '(x) %3D f "(x) =

A: Given : f(x) = 4x - 5x9/10

Q: Find the second derivative of f(x)=x(x^2+1)^3

A: Find the derivative of function:

Q: Find the derivative of the function. 5/.3 x° +4x

A: Given that q=x3+4x5To find  the derivative q'

Q: Find the derivative of the algebraic function. f(x) = (4 − 3x − x2)/(x2 − 1)

A: We have to find the derivative of the algebraic function: fx=4-3x-x2x2-1 Rewriting the function,…

Q: Find the second derivative of f(x)=x^3 + x-5

A:

Q: Find the equation of the function f whose graph passes through the point ( 0, and whose derivative…

A: We have to find value of f(x)

Q: Determine the 3rd derivative of the given function f(x) = (3x² - 5x + 6)4.

A:

Q: Find the derivative of the function   f(x)=ln(x3(2x+1)/x^2−3)

A:

Q: Find the derivative of the inverse function for y=x3−3x and calculate its value at x=−2.

A:

Q: Find the second derivative of the function. f(x) = 8(2 − 2x)4 f"(x)=

A: Given,

Q: ***** Find the derivative of the function. Express the 2+3 f(x) 4- x2

A: The function is in the form of u/v. Kindly follow the attached imaged.

Q: Find the derivative of the function g(x) 4+ 2x = (x),6

A:

Q: Find the fourth derivative of  f(x) = x^4-6x^3+7x-1

A: Given: f(x)=x4−6x3+7x−1