Solve 5810-3^26x+x

$$5810 - 3 ^ { 2 } 6 x + x$$

Evaluate

$$5810-53x$$

Solution Steps

Calculate 3 to the power of 2 and get 9.

$$5810-9\times 6x+x$$

Multiply 9 and 6 to get 54.

$$5810-54x+x$$

Combine -54x and x to get -53x.

$$5810-53x$$

Differentiate w.r.t. x

$$-53$$

Steps Using Derivative Rule for Sum

Calculate 3 to the power of 2 and get 9.

$$\frac{\mathrm{d}}{\mathrm{d}x}(5810-9\times 6x+x)$$

Multiply 9 and 6 to get 54.

$$\frac{\mathrm{d}}{\mathrm{d}x}(5810-54x+x)$$

Combine -54x and x to get -53x.

$$\frac{\mathrm{d}}{\mathrm{d}x}(5810-53x)$$

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}.

$$-53x^{1-1}$$

Subtract 1 from 1.

$$-53x^{0}$$

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

$$-53$$