Calculus

hx= 1/x -12sec x hx=x-1-12sec x h'x=-1-12xcx+-12sec xtan xx-1 h'x=12sec x+

Given square root of x2+5y2=y , find dy/dx in terms of x and y.

Save & Exit Certify Lesson: 4.3 The First and Second Derlvativ... JALIYN BELL Question 4 of 10, Step 1 of 1 4/15 Correct 4 Determine the open intervals on which the function is increasing and on which the function is decreasing. Enter Ø to indicate the interval is empty. fx=-x3+3x2+24x Answer Keypad Keyboard Shortcuts Separate multiple entries with commas. I...

Find the equation of the tangent line to the curve when x has the given value. fx=x2-x;x=2 A. y=3x+4 B. y=3x-4 C. y=3x+6 D. y=3x-6

Let V and h be the volume and height of the cone, respectively. Write an equation that re and does not include the radius of the cone. v= 4/3 π h3 Type an exact answer, using π as needed. Differentiate both sides of the equation with respect to t. dV/dt =square dh/dt Type an exact answer, using π as needed.

B5 Let ƒ be a piecewise-differentiable function so that f0=f'0=0 , and let a, b, and c be constants so: a f''t+bf't+cft=2delta t Let gt=ft*t and calculate: ag''t+bg't+cgt=| It

Find the derivative of the function and evaluate f'x at the given value of x. fx= square root of x+3xx3/2-x;x=1 f'x= 15/2 x 3/2 -4x- 3/2 x 1/2 Nice work! f'1=square

With an initial value of P0=50 , the population of a prairie dog community changes at a rate of P't=20- t/5 prairie dogs per month, for 0 ≤ t ≤ 200 months. Find the population of this community at t=6 months. Show all work! 4. Integrate by substitution and the Fundamental Theorem. Show all work using correct notation — especially with respect to the limit...

Example 4: fx=x2sin x . Find all x-coordinates where the tangent line for fx are horizontal.

limlimits _xto frac π 4frac 2sin x-2sin frac π 4x-frac π 4