Asking This Question Again

Question

Let f(x)=3x4−3x2+5.

(a) Find f′(x).

f′(x) = 

(b) Find the slope of the line tangent to the graph of f at x=2.

Slope at x=2: 

(c) Find an equation of the line tangent to the graph of f at x=2.

Tangent line: y = 

Note: I have the answer to A and B. The answer I keep getting for C is wrong.

Answer 1

f(x) = 3x⁴ − 3x² + 5

f'(x) = 12x³ - 6x, Power Rule, learn it.

f'(2) = 12(2)³ - 6(2), Calculate, this is slope at x = 2.

f(2) = 3(2)⁴ - 3(2)² + 5, Calculate, this is f at x = 2.

You now have the slope, f'(2), and a point, (2, f(2))

Use point-slope form from Algebra 1 to detemine equation.