Solve 8x^89*99*87-5

$$8 { x }^{ 89 } \times 99 \times 87-5$$

Evaluate

$$68904x^{89}-5$$

Solution Steps

Multiply 8 and 99 to get 792.

$$792x^{89}\times 87-5$$

Multiply 792 and 87 to get 68904.

$$68904x^{89}-5$$

Differentiate w.r.t. x

$$6132456x^{88}$$

Steps Using Derivative Rule for Sum

Multiply 8 and 99 to get 792.

$$\frac{\mathrm{d}}{\mathrm{d}x}(792x^{89}\times 87-5)$$

Multiply 792 and 87 to get 68904.

$$\frac{\mathrm{d}}{\mathrm{d}x}(68904x^{89}-5)$$

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}.

$$89\times 68904x^{89-1}$$

Multiply 89 times 68904.

$$6132456x^{89-1}$$

Subtract 1 from 89.

$$6132456x^{88}$$