Tutor profile: Tanner V.
Differentiate the given function f(x) = (6x^2 + 7x)^4
Take the derivative of the outside function f'(x) = 4*(6x^2 + 7x)^3 * chain rule component multiply by the derivative of the inside by the chain rule f'(x) = 4*(6x^2 + 7x)^3 * (12x + 7)
A rock is dropped off a cliff 115 meters high. How long does it take for the rock to reach the ground?
y = 1/2at^2 because the rock has no initial velocity plug values of y and a into the equation 115 = 4.9t^2 divide both sides by 4.9 23.47 = t^2 take the square root of both sides t = 4.84s
Find the values of x and y to solve the given system of equations 6x + y = 3 3x + 3y = 11
6x + y = 3 (3x + 3y = 11) * 2 6x + y = 3 6x + 6y = 22 Solve by elimination -5y = -19 Divide both sides by -5 y = 19/5 Plug value of y back into first equation to solve for x 6x + 19/5 = 3 6x = -4/5 Divide both sides by 6 x = -4/30 Simplify x = -2/15
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