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:

(16x^(3)-8x^(2)-4x)/(4x)

16x3−8x2−4x4x \frac{16 x^{3}-8 x^{2}-4 x}{4 x}

View step-by-step helpView step-by-step help
Homeright chevron icon
Math Problemsright chevron icon
Calculusright chevron icon
Find derivatives of using multiple formulaeright chevron icon

Full solution

Q. 16x3−8x2−4x4x \frac{16 x^{3}-8 x^{2}-4 x}{4 x}
  1. Divide by 44x: Simplify the expression by dividing each term in the numerator by the term in the denominator.\newlineWe have the expression (16x3−8x2−4x)/(4x)(16x^{3}-8x^{2}-4x)/(4x). To simplify, we divide each term in the numerator by 4x4x.\newline(16x3)/(4x)−(8x2)/(4x)−(4x)/(4x)(16x^{3})/(4x) - (8x^{2})/(4x) - (4x)/(4x)
  2. Perform Division: Perform the division for each term.\newline(16x3)/(4x)=164×x(3−1)=4x2(16x^{3})/(4x) = \frac{16}{4} \times x^{(3-1)} = 4x^2\newline(8x2)/(4x)=84×x(2−1)=2x(8x^{2})/(4x) = \frac{8}{4} \times x^{(2-1)} = 2x\newline(4x)/(4x)=44×x(1−1)=1(4x)/(4x) = \frac{4}{4} \times x^{(1-1)} = 1
  3. Combine Results: Combine the results from Step 22 to get the simplified expression. 4x2−2x−14x^2 - 2x - 1

More problems from Find derivatives of using multiple formulae

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 (358)

Related topics

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