How to solve 3x ^ 5 * 7x ^ 4

1. Factor the equation (x + 2)(x + 3) = 0. 2. Set each factor equal to zero: x + 2 = 0 and x + 3 = 0. 3. Solve for x: x = -2 and x = -3.

Solve 3x ^ 5 * 7x ^ 4 | Equatix

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Example

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

a⋅(b-2)=3b

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

a⋅(b-2)=3b

Question

$$3x^{5}\times7x^{4}$$

Evaluate

$21x^{9}$

Show Solution

Differentiate w.r.t. x

$189x^{8}$

Steps Using Definition of a Derivative

To multiply powers of the same base, add their exponents. Add $5$ and $4$ to get $9$.

$$\frac{\mathrm{d}}{\mathrm{d}x}(3x^{9}\times 7)$$

Multiply $3$ and $7$ to get $21$.

$$\frac{\mathrm{d}}{\mathrm{d}x}(21x^{9})$$

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

$$9\times 21x^{9-1}$$

Multiply $9$ times $21$.

$$189x^{9-1}$$

Subtract $1$ from $9$.

$$189x^{8}$$

Show Solution

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Example

Question

Evaluate

Solution Steps

Differentiate w.r.t. x

Steps Using Definition of a Derivative