Solve CCCCC | Equatix - Math Solver

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Example

3(r+2s)=2t-4

a⋅(b-2)=3b

3(r+2s)=2t-4

a⋅(b-2)=3b

Question

$$CCCCC$$

Evaluate

$C^{5}$

Solution Steps

Multiply $C$ and $C$ to get $C^{2}$.

$$C^{2}CCC$$

To multiply powers of the same base, add their exponents. Add $2$ and $1$ to get $3$.

$$C^{3}CC$$

To multiply powers of the same base, add their exponents. Add $3$ and $1$ to get $4$.

$$C^{4}C$$

To multiply powers of the same base, add their exponents. Add $4$ and $1$ to get $5$.

$$C^{5}$$

Differentiate w.r.t. C

$5C^{4}$

Steps Using Definition of a Derivative

Multiply $C$ and $C$ to get $C^{2}$.

$$\frac{\mathrm{d}}{\mathrm{d}C}(C^{2}CCC)$$

To multiply powers of the same base, add their exponents. Add $2$ and $1$ to get $3$.

$$\frac{\mathrm{d}}{\mathrm{d}C}(C^{3}CC)$$

To multiply powers of the same base, add their exponents. Add $3$ and $1$ to get $4$.

$$\frac{\mathrm{d}}{\mathrm{d}C}(C^{4}C)$$

To multiply powers of the same base, add their exponents. Add $4$ and $1$ to get $5$.

$$\frac{\mathrm{d}}{\mathrm{d}C}(C^{5})$$

The derivative of $ax^{n}$ is $nax^{n-1}$.

$$5C^{5-1}$$

Subtract $1$ from $5$.

$$5C^{4}$$