Consider the following functions. g(x) =x3 − 10x h(x)=4x2 + 3x f(x)=(x3 − 10x)(4x2 + 3x)...

Consider the following functions.

g(x) =x³ − 10x

h(x)=4x² + 3x

f(x)=(x³ − 10x)(4x² + 3x)

Find the derivative of each function.

g '(x)=

h '(x)=

f '(x)=

Solutions

Expert Solution

This question is solved using power rule of differentiation:

Please thumbs up if you found the solution helpful. Feel free to ask any query related to this question in the comments. Thanks!

milcah answered 1 year ago

Next > < Previous

Related Solutions

Consider the following. f(x) = x(x2 - 10x + 30) g(x) = x2

Consider the following. f(x) = x(x2 - 10x + 30) g(x) = x2 (a) Use a graphing utility to graph the region bounded by the graphs of the functions.(b) ) Find the area of the region analytically (c) Use the integration capabilities of the graphing utility to verify your results.

consider the function f(x) = 1 + x3 e-.3x a. what is f'(x) b. what is f''(x)...

consider the function f(x) = 1 + x3 e-.3x a. what is f'(x) b. what is f''(x) c. what are the critical points of f(x) d. are the critical points a local min or local max or neither? e. find the inflection points f. if we define f(x) to have the domain of [2,50] compute the global extreme of f(x) on that interval

F(x)=g(x)*h(x) = 4x3-2x2+3x-1 solution

Consider the following functions. f(x) = x − 3, g(x) = |x + 3| Find (f...

Consider the following functions. f(x) = x − 3, g(x) = |x + 3| Find (f ∘ g)(x). Find the domain of (f ∘ g)(x). (Enter your answer using interval notation.) Find (g ∘ f)(x). Find the domain of (g ∘ f)(x). (Enter your answer using interval notation.) Find (f ∘ f)(x). Find the domain of (f ∘ f)(x). (Enter your answer using interval notation.) Find (g ∘ g)(x). Find the domain of (g ∘ g)(x). (Enter your answer using...

If f and g are both differentiable functions. If h = f g, then h'(2) is: ___________________

If f and g are both differentiable functions. If h = f g, then h'(2) is: ___________________ Given the function: y=sin(4x)+e^-3x and dx/dt = 3 when x=0. Then dy/dt = ________________ when x=0. Let f(x) = ln (√x). The value of c in the interval (1,e) for which f(x) satisfies the Mean Value Theorem (i.e f'(c)= f(e)-f(1) / e-1 ) is: _________________________ Suppose f(x) is a piecewise function: f(x) = 3x^2 -11x-4, if x ≤ 4 and f(x) =...

1. For the function f(x)=x2−36 evaluate f(x+h). f(x+h)= 2. Let f(x)=3x+4,g(x)=9x+12, and h(x)= 9x^2+ 24x+16. evaluate...

1. For the function f(x)=x2−36 evaluate f(x+h). f(x+h)= 2. Let f(x)=3x+4,g(x)=9x+12, and h(x)= 9x^2+ 24x+16. evaluate the following: a. (fg)(3)= b. (f/g) (2)= c. (f/g) (0)= d.(fh)(-1)= 3. Let f(x)=2x-1, g(x)=x-3, and h(x) =2x^2-7x+3. write a formula for each of the following functions and then simplify a. (fh) (x)= b. (h/f) (x)= c. (h/g) (x)= 4.Let f(x)=5−x and g(x)=x^3+3 find: a. (f∘g)(0)= b.(g∘f)(0)= c. (f∘g)(x)= d. (g∘f)(x)= 5. Let f(x)=x^2+5x and g(x)=4x+5 find: a. (f∘g)(x)= b. (g∘f)(x)= c. (f∘g)(0)= d....

Consider the following function. g(x, y) = e− 4x2 + 5y2 + 24 x (a) Find...

Consider the following function. g(x, y) = e− 4x2 + 5y2 + 24 x (a) Find the critical point of g. If the critical point is (a, b) then enter 'a,b' (without the quotes) into the answer box. (b) Using your critical point in (a), find the value of D(a, b) from the Second Partials test that is used to classify the critical point. (c) Use the Second Partials test to classify the critical point from (a).

Question