Answer:
x = 101°
Step-by-step explanation:
15 + 25 + 39 + x = 180
79 + x = 180
x = 101
X=2/7 or x=0.285714 repeating
Answer:
The gradient for the function 4x³ + 13x when x is 2 is 61.
Step-by-step explanation:
Before we do anything, let's find the partial derivative of 4x³ + 13x.
d/dx (4x³ + 13x)
<em>Step 1: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 axⁿ is naxⁿ⁻¹.</em>
3 * 4x³⁻¹ + 13x¹⁻¹
<em>Step 2: Multiply 3 and 4.</em>
12x³⁻¹ + 13x¹⁻¹
<em>Steps 3 & 4: Subtract 1 from 3 (Step 3) and 1 (Step 4) respectively.</em>
12x² + 13
<em>Note: 13x⁰ simply becomes 13 because t⁰ = t.</em>
Now that we know the derivative, substitute x for 2.
12(2²) + 13
<em>Step 5: Square 2 to get 4.</em>
12(4) + 13
<em>Step 6: Multiply 12 and 4 to get 48.</em>
48 + 13
<em>Step 7: Add 48 and 13 to get 61.</em>
61
So, the gradient of 4x³ + 13x is 61, if x is 2.
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