Find the derivative of the function. A) f(x)=(2+x^3)^2/3 B) h(t)= (t^4-1)^9(t^3+1)^8 C) y = e4x sin(x)...

Find the derivative of the function.

A) f(x)=(2+x^3)^2/3

B) h(t)= (t^4-1)^9(t^3+1)^8

C) y = e^4x
sin(x)

D) y= (x^2+2/x^2-2)^3

Expert Solution

milcah answered 2 years ago

Use logarithmic differentiation to find the derivative of the function: y= sqrt(x)e^(x^3) (x^4 +1)^9 sin x

Find the derivative of the function f(t)=arccsc⁡〖(-t^2)〗 f(x)=arccot⁡√x y=ln⁡〖t^2 〗-arctan⁡〖t/2〗 f(x)=arcsec⁡x+arccsc⁡x...

Find the derivative of the function f(t)=arccsc⁡〖(-t^2)〗 f(x)=arccot⁡√x y=ln⁡〖t^2 〗-arctan⁡〖t/2〗 f(x)=arcsec⁡x+arccsc⁡x y=arctan⁡〖x/2〗+1/(2(x^2+4)) Use implicit differentiation to find an equation of the tangent line the graph of the equation at the given point. arctan⁡(x+y)=y^2+π/4, (1,0)

Find the critical numbers of the function. 1. g(y) = (y-1)/(y^2-y+1) 2. h(t) = t^3/4 -...

Find the critical numbers of the function. 1. g(y) = (y-1)/(y^2-y+1) 2. h(t) = t^3/4 - 2t^1/4 3. F(x) = (x^4/5)*(x-4)^2 4. f(x) = 2cos(x)+sin^2(x)

Suppose f(x,y)=(1/8)(6-x-y) for 0<x<2 and 2<y<4. a. Find p(Y<3|X=1) b. Find p(Y<3|0.5<X<1)

Let f(x) = −3+(3x2 −x+1) ln(2√x−5) (a) Find the derivative of f. (b) Using the derivative...

Let f(x) = −3+(3x2 −x+1) ln(2√x−5) (a) Find the derivative of f. (b) Using the derivative and linear approximation, estimate f(9.1).

For the function a) f(x)=x^3-9x^2+23x-15 b)f(x)=(x+3)^2(2x+1)(x-1) c)f(x)=-(x^2-6x+9)(x^2-x-6) Find: 1) the zeros 2) the y-intercept 3) left-right...

For the function a) f(x)=x^3-9x^2+23x-15 b)f(x)=(x+3)^2(2x+1)(x-1) c)f(x)=-(x^2-6x+9)(x^2-x-6) Find: 1) the zeros 2) the y-intercept 3) left-right end behavior 4) the sketch of the graph

Question

Find the derivative of the function. A) f(x)=(2+x^3)^2/3 B) h(t)= (t^4-1)^9(t^3+1)^8 C) y = e4x sin(x)...

Solutions

Expert Solution

Related Solutions

Use logarithmic differentiation to find the derivative of the function: y= sqrt(x)e^(x^3) (x^4 +1)^9 sin x

Find the derivative of the function f(t)=arccsc⁡〖(-t^2)〗 f(x)=arccot⁡√x y=ln⁡〖t^2 〗-arctan⁡〖t/2〗 f(x)=arcsec⁡x+arccsc⁡x...

Find the critical numbers of the function. 1. g(y) = (y-1)/(y^2-y+1) 2. h(t) = t^3/4 -...

Suppose f(x,y)=(1/8)(6-x-y) for 0<x<2 and 2<y<4. a. Find p(Y<3|X=1) b. Find p(Y<3|0.5<X<1)

Let f(x) = −3+(3x2 −x+1) ln(2√x−5) (a) Find the derivative of f. (b) Using the derivative...

For the function a) f(x)=x^3-9x^2+23x-15 b)f(x)=(x+3)^2(2x+1)(x-1) c)f(x)=-(x^2-6x+9)(x^2-x-6) Find: 1) the zeros 2) the y-intercept 3) left-right...

Let f(t)=5t2−t. a) Find f(t+h): b) Find f(t+h)−f(t): c) Find f(t+h)−f(t)/h: side note: (f(t+h)=f(t) is on...

Find the Fourier series of the function. c. f(t) = sin(3pit), -1</ t </ 1

Let f ( x , y ) = x^ 2 + y ^3 + sin ⁡...

Find the root of the function f(x) = 8 - 4.5 ( x - sin x...