The rule of the derivative of a function f is given. Find the location of all local extrema. f'(x) = (x + 5)(x - 2)(x - 4)
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- Find the average rates of change of f(x)=x2+2x (a) from x1=3 to x2=2 and (b) from x1=2 to x2=0.Using the limit definitoin of the derivative, comput the derivative of the function. x^3+3x^2+x+3 b) Which positions x does the graph of y=x^3+3x^2+x+3 have a horizontal tangent line?The derivative of the function is: f(x) = ln (5x ^3 + 3x ^-2 + 4x - 4x) ^-5 -------> find derivate
- Find the left hand and right hand derivative of the function. f(x) =absolute value of x^3 at the point x =0. Does the derivative exist at x =0?Find an equation of the tangent line to the graph of y = f ( x ) at the point on the graph where x has the indicated value. Use the quotient rule to find the derivative of f ( x ). f (x) = 2x 2 - 10 over 2x - 2 , x = 0.The second derivative of a function is equal to 1. If the graph of the function passes through (0,2) and (1,4), find f(2).
- use logarithmic differentiation or the method to find the derivative of y with respect to the given independentvariable. y = xsin xFind a function with the given derivative whose graph passes through point P f'(x)=1/x+2, x is greater than -2, P(-1,3)Find the local extrema of f(x)= (x-1)^2 / x^2+1 Using first/second derivative test