Resourcesdown chevron
Testimonials
Plans
Sign in
Sign up
Resourcesright arrow
Testimonials
Plans
Bytelearn - cat image with glassesAI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Evaluate the expression 4^(x)-3^(x) for x=2.

Evaluate the expression 4x−3x 4^{x}-3^{x} for x=2 x=2 .

View step-by-step helpView step-by-step help
Homeright chevron icon
Math Problemsright chevron icon
Calculusright chevron icon
Find derivatives using the chain rule IIright chevron icon

Full solution

Q. Evaluate the expression 4x−3x 4^{x}-3^{x} for x=2 x=2 .
  1. Substitute xx with 22: Substitute the value of xx into the expression.\newlineWe have the expression 4x−3x4^{x} - 3^{x} and we need to evaluate it for x=2x=2.\newlineSo, we substitute xx with 22 into the expression to get 42−324^{2} - 3^{2}.
  2. Calculate values: Calculate the value of 424^{2} and 323^{2}. 424^{2} means 44 multiplied by itself, which is 4×4=164 \times 4 = 16. 323^{2} means 33 multiplied by itself, which is 3×3=93 \times 3 = 9.
  3. Subtract and find result: Subtract the value of 323^{2} from the value of 424^{2}. Now we subtract 99 from 1616 to get the final result. 16−9=716 - 9 = 7.
  4. Verify calculations: Verify the calculations to ensure there are no math errors. 1616 is the correct square of 44, and 99 is the correct square of 33. The subtraction 16−9=716 - 9 = 7 is also correct.

More problems from Find derivatives using the chain rule II

Question
Find the derivative of f(x) f(x) .\newlinef(x)=cos⁡(x) f(x) = \cos(x) \newlinef′(x)= f'(x) = ______
Get tutor helpright-arrow

Posted 7 months ago

Question
Find the derivative of f(x) f(x) .\newlinef(x)=tan⁡(x) f(x) = \tan(x) \newlinef′(x)= f'(x) = ______
Get tutor helpright-arrow

Posted 8 months ago

Question
Find the derivative of f(x) f(x) .\newlinef(x)=ex f(x) = e^x \newlinef′(x)= f'\left(x\right) = ______
Get tutor helpright-arrow

Posted 8 months ago

Question
Find the derivative of f(x) f(x) .\newlinef(x)=ln⁡(x) f(x) = \ln(x) \newlinef′(x)= f'(x) = ______
Get tutor helpright-arrow

Posted 8 months ago

Question
Find the derivative of f(x) f(x) .\newlinef(x)=tan⁡−1x f(x) = \tan^{-1}{x} \newlinef′(x)= f'(x) = ______
Get tutor helpright-arrow

Posted 8 months ago

Question
Find the derivative of f(x) f(x) .\newlinef(x)=xex f(x) = x e^x \newlinef′(x)= f'\left(x\right) = ______
Get tutor helpright-arrow

Posted 8 months ago

Question
Find the derivative of f(x) f(x) . \newlinef(x)=exx f(x) = \frac{e^x}{x} \newlinef′(x)= f'(x) = ______
Get tutor helpright-arrow

Posted 8 months ago

Question
Find the derivative of f(x) f(x) . \newline f(x)=e(x+1) f(x) = e^{(x + 1)} \newline f′(x)= f'\left(x\right) = ______
Get tutor helpright-arrow

Posted 7 months ago

Question
Find the derivative of f(x) f(x) . \newlinef(x)=x+3 f(x) = \sqrt{x+3} \newlinef′(x)= f'(x) = ______
Get tutor helpright-arrow

Posted 8 months ago

Question
Find the derivative of g(x) g(x). \newline g(x)=ln⁡(2x) g(x) = \ln(2x) \newline g′(x)= g^{\prime}(x) = ______
Get tutor helpright-arrow

Posted 9 months ago

View all (13)

Related topics

Algebra - Order of OperationsAlgebra - Distributive Property`X` and `Y` AxesGeometry - Scalene TriangleCommon MultipleGeometry - Quadrant