Solve 2*6*6*6-3*x*6^2+4*6-5=

$$2 \times 6 \times 6 \times 6-3 \times x \times { 6 }^{ 2 } +4 \times 6-5=$$

Evaluate

$$451-108x$$

Solution Steps

Multiply 2 and 6 to get 12.

$$12\times 6\times 6-3x\times 6^{2}+4\times 6-5$$

Multiply 12 and 6 to get 72.

$$72\times 6-3x\times 6^{2}+4\times 6-5$$

Multiply 72 and 6 to get 432.

$$432-3x\times 6^{2}+4\times 6-5$$

Calculate 6 to the power of 2 and get 36.

$$432-3x\times 36+4\times 6-5$$

Multiply 3 and 36 to get 108.

$$432-108x+4\times 6-5$$

Multiply 4 and 6 to get 24.

$$432-108x+24-5$$

Add 432 and 24 to get 456.

$$456-108x-5$$

Subtract 5 from 456 to get 451.

$$451-108x$$

Differentiate w.r.t. x

$$-108$$

Steps Using Derivative Rule for Sum

Multiply 2 and 6 to get 12.

$$\frac{\mathrm{d}}{\mathrm{d}x}(12\times 6\times 6-3x\times 6^{2}+4\times 6-5)$$

Multiply 12 and 6 to get 72.

$$\frac{\mathrm{d}}{\mathrm{d}x}(72\times 6-3x\times 6^{2}+4\times 6-5)$$

Multiply 72 and 6 to get 432.

$$\frac{\mathrm{d}}{\mathrm{d}x}(432-3x\times 6^{2}+4\times 6-5)$$

Calculate 6 to the power of 2 and get 36.

$$\frac{\mathrm{d}}{\mathrm{d}x}(432-3x\times 36+4\times 6-5)$$

Multiply 3 and 36 to get 108.

$$\frac{\mathrm{d}}{\mathrm{d}x}(432-108x+4\times 6-5)$$

Multiply 4 and 6 to get 24.

$$\frac{\mathrm{d}}{\mathrm{d}x}(432-108x+24-5)$$

Add 432 and 24 to get 456.

$$\frac{\mathrm{d}}{\mathrm{d}x}(456-108x-5)$$

Subtract 5 from 456 to get 451.

$$\frac{\mathrm{d}}{\mathrm{d}x}(451-108x)$$

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}.

$$-108x^{1-1}$$

Subtract 1 from 1.

$$-108x^{0}$$

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

$$-108$$