Solve 2^6+5a^3+8

$$2 ^ { 6 } + 5 a ^ { 3 } + 8$$

Evaluate

$$5a^{3}+72$$

Solution Steps

Calculate 2 to the power of 6 and get 64.

$$64+5a^{3}+8$$

Add 64 and 8 to get 72.

$$72+5a^{3}$$

Differentiate w.r.t. a

$$15a^{2}$$

Steps Using Derivative Rule for Sum

Calculate 2 to the power of 6 and get 64.

$$\frac{\mathrm{d}}{\mathrm{d}a}(64+5a^{3}+8)$$

Add 64 and 8 to get 72.

$$\frac{\mathrm{d}}{\mathrm{d}a}(72+5a^{3})$$

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}.

$$3\times 5a^{3-1}$$

Multiply 3 times 5.

$$15a^{3-1}$$

Subtract 1 from 3.

$$15a^{2}$$