Can any math expert please help solve my math assignmentquestion:-Find the derivative of the function f(x) = 3x^4 - 2x^3 + 5x^2 - 7x + 2?

Answer 1

To find the derivative of the function f(x) = 3x^4 - 2x^3 + 5x^2 - 7x + 2, we can differentiate each term with respect to x using the power rule. The power rule states that if we have a term of the form ax^n, where a is a constant and n is a positive integer, the derivative is given by nax^(n-1).

Differentiating each term of the function, we have:

d/dx (3x^4) = 4(3)x^(4-1) = 12x^3

d/dx (-2x^3) = 3(-2)x^(3-1) = -6x^2

d/dx (5x^2) = 2(5)x^(2-1) = 10x

d/dx (-7x) = 1(-7)x^(1-1) = -7

d/dx (2) = 0 (the derivative of a constant is zero)

Putting it all together, the derivative of f(x) is:

f'(x) = 12x^3 - 6x^2 + 10x - 7

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