Calculus Examples

$f (1) = 3 x^{4} - 20 x^{3} + 42 x^{2} - 36 x$

Step 1

Replace the variable $x$ with $1$ in the expression.

$f (1) = 3 {(1)}^{4} - 20 {(1)}^{3} + 42 {(1)}^{2} - 36 \cdot 1$

Step 2

Simplify the result.

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Step 2.1

Simplify each term.

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Step 2.1.1

One to any power is one.

$f (1) = 3 \cdot 1 - 20 {(1)}^{3} + 42 {(1)}^{2} - 36 \cdot 1$

Step 2.1.2

Multiply $3$ by $1$ .

$f (1) = 3 - 20 {(1)}^{3} + 42 {(1)}^{2} - 36 \cdot 1$

Step 2.1.3

One to any power is one.

$f (1) = 3 - 20 \cdot 1 + 42 {(1)}^{2} - 36 \cdot 1$

Step 2.1.4

Multiply $- 20$ by $1$ .

$f (1) = 3 - 20 + 42 {(1)}^{2} - 36 \cdot 1$

Step 2.1.5

One to any power is one.

$f (1) = 3 - 20 + 42 \cdot 1 - 36 \cdot 1$

Step 2.1.6

Multiply $42$ by $1$ .

$f (1) = 3 - 20 + 42 - 36 \cdot 1$

Step 2.1.7

Multiply $- 36$ by $1$ .

$f (1) = 3 - 20 + 42 - 36$

Step 2.2

Simplify by adding and subtracting.

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Step 2.2.1

Subtract $20$ from $3$ .

$f (1) = - 17 + 42 - 36$

Step 2.2.2

Add $- 17$ and $42$ .

$f (1) = 25 - 36$

Step 2.2.3

Subtract $36$ from $25$ .

$f (1) = - 11$

Step 2.3

The final answer is $- 11$ .

$- 11$

Step 3