Solve 15^5+d-3-5+25

$$15 ^ { 5 } + d - 3 - 5 + 25$$

Evaluate

$$d+759392$$

Solution Steps

Calculate 15 to the power of 5 and get 759375.

$$759375+d-3-5+25$$

Subtract 3 from 759375 to get 759372.

$$759372+d-5+25$$

Subtract 5 from 759372 to get 759367.

$$759367+d+25$$

Add 759367 and 25 to get 759392.

$$759392+d$$

Differentiate w.r.t. d

$$1$$

Steps Using Derivative Rule for Sum

Calculate 15 to the power of 5 and get 759375.

$$\frac{\mathrm{d}}{\mathrm{d}d}(759375+d-3-5+25)$$

Subtract 3 from 759375 to get 759372.

$$\frac{\mathrm{d}}{\mathrm{d}d}(759372+d-5+25)$$

Subtract 5 from 759372 to get 759367.

$$\frac{\mathrm{d}}{\mathrm{d}d}(759367+d+25)$$

Add 759367 and 25 to get 759392.

$$\frac{\mathrm{d}}{\mathrm{d}d}(759392+d)$$

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}.

$$d^{1-1}$$

Subtract 1 from 1.

$$d^{0}$$

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

$$1$$