given f''(x)=6x+2 and f'(-3)=2 and f(-3)=-5 find f'(x)=? and find f(4)=?

given f''(x)=6x+2 and f'(-3)=2 and f(-3)=-5 find f'(x)=? and find f(4)=?

A stone is dropped from the edge of a roof, and hits the ground with a velocity of -125 feet per second. How high (in feet) is the roof?

1. Find the points on the graph of f(x)=1/3x^3+x^2-x-1 at which slope is a)2 and b)0? 2. Give a position function s(t)=t+1/t+1. Find the equation of the velocity v(t)....

How do I create a form of y=f(x) that satisfies each set of conditions: A. Verticle asymptote at x=4, hole at x=0 B. Verticle asymtotes at x=-5 and x=1, hole at x= -1 C...

Proving identities

i know how to do the derivative part but I don't know what to do with the x=4

f(x)= x^3-x^2-8x+8 ;[-2,0] find the absolute maximum and minimum values of each function over the indicated intervale and indicated the x-values at which they occur

r= (1)/(2-sinθ)

List each step by step and why these steps were taken.

In Calculus, are any number to the power of x treated as E^x when working with derivatives? (i.e. 10^x ... 10xln(10)

The marginal cost of producing the xth item is given by (-x+10)^2 Find the total cost function, C, assuming the total cost is zero if no items are produced. C(x)=...

The curve below has a horizontal tangent line at the point ( - 2 , 8 ) and at one other point. Find the coordinates of the second point where the curve has a horizontal tangent line. 16x^2+64x+25y^2-200y=-64 x-coordinate...

Question 1 Find the value of k such that x = 2 is a critical number of f(x) =14x4−3x2+kx.

a. show that a polynomial of degree 3 has at most three real roots b. show that a polynomial of degree n has at most n real roots.

A farmer finds that if she plants 95 trees per acre, each tree will yield 55 bushels of fruit. She estimates that for each additional tree planted per acre, the yield of each tree will decrease by...

Show all working out please

Find the function of the form f(x)=a+bcos(cx) that is tangent to the line y=1 at the point (0,1), and tangent to the line y = x + (3/2) - (pi/4) at the point (pi/4, 3/2).

List each step by step and explain why each step was take.

List why it is true or false and give each step, also include why each step was taken.

Give each step in order and tell why each step was taken to get the answer. g(x)=sqrt of x.