Solve f(x)6x^2+3x-1

$$f ( x ) 6 x ^ { 2 } + 3 x - 1$$

Differentiate w.r.t. x

$$18fx^{2}+3$$

Steps Using Derivative Rule for Sum

To multiply powers of the same base, add their exponents. Add 1 and 2 to get 3.

$$\frac{\mathrm{d}}{\mathrm{d}x}(fx^{3}\times 6+3x-1)$$

The derivative of a polynomial is the sum of the derivatives of its terms. The derivative of a constant term is 0. The derivative of ax^{n} is nax^{n-1}.

$$3x^{1-1}+3\times 6fx^{3-1}$$

Subtract 1 from 1.

$$3x^{0}+3\times 6fx^{3-1}$$

Multiply 3 times 6f.

$$3x^{0}+18fx^{3-1}$$

Subtract 1 from 3.

$$3x^{0}+18fx^{2}$$

For any term t except 0, t^{0}=1.

$$3\times 1+18fx^{2}$$

For any term t, t\times 1=t and 1t=t.

$$3+18fx^{2}$$

Evaluate

$$6fx^{3}+3x-1$$