The function h(x)% = can be expressed in the form f(g(x)), where g(x) = (x + 3), and x + 3 f(x) is defined as:

Q: Find the derivative.   g(x) = 4^x/x^4

A:

Q: The derivative in question, solve f´(2) if f(x) = x^3 – 6x^2 + 9x + 3 Determine the largest and…

A:

Q: need help solving this please

A:

Q: use the General Power Rule, Exponential Rule, or the Chain Rule to compute the derivative. y = (x3 +…

A:

Q: Find the derivative of the function G(x) 1 + 2x3 – x2 + 5.3x + /10.

A: GIVEN:   G(x) = 12x4 + 2x3 - x2 + 5.3x + 10

Q: Find the locations and values of all relative maxima and minima.   f(x)=ln(3x)/2x^2

A:

Q: Find the derivative of the function. g(x) = √(4 − 3x2 )

A:

Q: Use the first derivative test to determine the relative extreme values of the function. below. a.…

A: We have to determine the relative extreme values of the function using the first derivative test.

Q: Find the derivative: n[(x³ + 2) (x² + 3)].

A:

Q: Find the x-coordinates of all local maxima using the second derivative test. p(x)=x7+4x6+10

A: Again differentiating with respect to x, we get

Q: Using the second derivative criterion, find the graphs of the functions a) F(x) = x*– 8x² +3

A: Given- (a)  Fx=x4-8x2+3 To Find- The graph of the above functions using second derivative.

Q: Use derivatives to sketch the graph of f(x) = (x² – 8x + 16)e².

A: Given

Q: A8: By use of the chain rule, differentiate the function f(x) = In(x* + 1).

A: It is differentiation using chain rule.

Q: Find f′(x). f(x)=5x4 ln x

A:

Q: The first derivative of f(x) = e5x*-6x will be A. (6-20x)e**-6x B. (20x 6) e5x*-6x C. (6+ 20x)…

A:

Q: Graph the first and second derivatives of the given function: f(x)= x3+ 2 x2 - 3x

A:

Q: Use the first derivative test to determine the relative extreme values of the function. below. a.…

A:

Q: Find the derivative of f (x) = e(x3 − 10x2 + 8 ) .

A: Derivatives can be defined as rate of change of function with respect to an independent variable. It…

Q: a) Using definition, compute the derivative function of f (x) = 4x7

A: Here, we will find derivative of given function by definition of derivative,

Q: Given f(x) = –3x² – x + 15, find f' (-3) using the definition of a derivative. Provide your answer…

A: f(x) = -3x2 -x +15 find f-1(-3)

Q: Find the second derivative of the function. f(x)= [3x3+7]7

A:

Q: Find the local minimum and local maximum values of the function g(x) = 6x2− 4x3 using both the First…

A:

Q: Given f(x) = 5x² + 5x + 2, find f' (x) using the definition of a derivative.

A: Given function is solved through derivative  detailed solution is given below

Q: If f(x)=(4x)^(ln x) how would you find f'(3)?

A: Obtain the derivative of the function as follows.

Q: Find the value of x for which the derivative is zero. y=x3+4x2-3x-5

A:

Q: 3.) y = e2x-3 3.) у 3

A: The derivative of some general functions are, ddx(ef(x))=ef(x).ddx(f(x)) Product rule of derivative…

Q: (B) Use the first derivative test to find the maxima and minima for f(x) = 3. 5z2 + 6x +9. 2.

A:

Q: g(x) =e*(2x² – 3x)

A: g(x)=e^x (2x^2-3x)

Q: Find the derivative of g(x) = 4x 1+4* •

A:

Q: Find the derivative for g(x) = :-7x - 2 + 3x

A: We need to determine the derivative of the function: g(x) = -7x2/3 -2+3x7/4 As the differentiation…

Q: Find the derivative f'(x)=? of the function f(x) = 2x5 +√√x -+ 2x - 3

A: SOLUTION-

Q: the derivative of the function g(x) In(lx2 +21)

A: We have to find the derivative of g(x)=ln(|x2+2|)

Q: Find the first and second derivatives of the function. f(x) =x4 -3x3 +16x

A: To find the first and second derivatives of the function. fx=x4-3x3+16x

Q: The derivative of 4.x5 is f(x) f(x) = Зх-2

A:

Q: The derivative of a function is g'(x) = 19 – 6x² and the graph of g(x) passes through the point P(3,…

A: To find  g(x)

Q: Find the derivative of f (x) = ( a ° – 5æ) (2² + 6x - 6).

A:

Q: Find the derivative of the function.

A: The given function is gx=3x2-22x+3-2.

Q: Using the second derivative criterion, find the graphs of the functions b) F(x) = x³/3 - 9x + 3

A:

Q: Find the first and second derivatives of the function. g(x) = -4x3 + 11x2 + 6x - 51 g'(x) g"(x)

A:

Q: Find the intervals of increase and decrease  for the function.   f(x)= ln(lnx-4)

A: Simple increasing and decreasing problem.....

Q: The derivative of f(x) = x4 + 4e2x is-

A:

Q: Rewrite the function g(x) = ((x^2)-1)/((x^2)+2) so that you can solve for the derivative using the…

A:

Q: 3x2 – x +1 - Find the derivative f'(x) by hand when f(x) %3D 2x + 7

A:

Q: Find the derivative of the function. g(x) = 2(3 - 8x)

A:

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

A: f'x=-2x8-x2    passes through the point2,2x,y=2,2Indefinite integral:∫f'x dx=Fx+C

Q: The derivative of f(x) = x³e2x is

A: