Solve c-32^2*11-5*(-7)

$$c - 32 ^ { 2 } \cdot 11 - 5 \cdot ( - 7 )$$

Evaluate

$$c-11229$$

Solution Steps

Calculate 32 to the power of 2 and get 1024.

$$c-1024\times 11-5\left(-7\right)$$

Multiply 1024 and 11 to get 11264.

$$c-11264-5\left(-7\right)$$

Multiply 5 and -7 to get -35.

$$c-11264-\left(-35\right)$$

The opposite of -35 is 35.

$$c-11264+35$$

Add -11264 and 35 to get -11229.

$$c-11229$$

Differentiate w.r.t. c

$$1$$

Steps Using Derivative Rule for Sum

Calculate 32 to the power of 2 and get 1024.

$$\frac{\mathrm{d}}{\mathrm{d}c}(c-1024\times 11-5\left(-7\right))$$

Multiply 1024 and 11 to get 11264.

$$\frac{\mathrm{d}}{\mathrm{d}c}(c-11264-5\left(-7\right))$$

Multiply 5 and -7 to get -35.

$$\frac{\mathrm{d}}{\mathrm{d}c}(c-11264-\left(-35\right))$$

The opposite of -35 is 35.

$$\frac{\mathrm{d}}{\mathrm{d}c}(c-11264+35)$$

Add -11264 and 35 to get -11229.

$$\frac{\mathrm{d}}{\mathrm{d}c}(c-11229)$$

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}.

$$c^{1-1}$$

Subtract 1 from 1.

$$c^{0}$$

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

$$1$$