Question

Question Let h(x)=f(x) g(x). If f(x)=-3 x and g(x)=-4 x^2+x-4, what is h'(x) ? Select the correct answer below: (-3)(-4 x^2+x-4)+(-3 x)(-8 x+1) (-3)(-8 x+1)+(-3 x)(-4 x^2+x-4) (-3)(-8 x+1) (-3)(-4 x^2+x-4) (-3 x)(-3)+(-4 x^2+x-4)(-8 x+1)

          Question
Let h(x)=f(x) g(x). If f(x)=-3 x and g(x)=-4 x^2+x-4, what is h'(x) ?
Select the correct answer below:
(-3)(-4 x^2+x-4)+(-3 x)(-8 x+1)
(-3)(-8 x+1)+(-3 x)(-4 x^2+x-4)
(-3)(-8 x+1)
(-3)(-4 x^2+x-4)
(-3 x)(-3)+(-4 x^2+x-4)(-8 x+1)

Question
Let h(x)=f(x) g(x). If f(x)=-3 x and g(x)=-4 x^2+x-4, what is h'(x) ?
Select the correct answer below:
(-3)(-4 x^2+x-4)+(-3 x)(-8 x+1)
(-3)(-8 x+1)+(-3 x)(-4 x^2+x-4)
(-3)(-8 x+1)
(-3)(-4 x^2+x-4)
(-3 x)(-3)+(-4 x^2+x-4)(-8 x+1)

Added by Abigail C.

Elementary and Intermediate Algebra

Marvin L. Bittinger, David J.… 4th Edition

Chapter 12

Instant Answer

Solved by Expert Chloe Frechette

05/11/2023

Step 1

The product rule states that if h(x) = f(x)g(x), then h'(x) = f'(x)g(x) + f(x)g'(x). We are given f(x) = -3x and g(x) = -4x^2 + x - 4. Now, we need to find the derivatives of f(x) and g(x). f'(x) = d(-3x)/dx = -3 g'(x) = d(-4x^2 + x - 4)/dx = -8x + 1 Show more…

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Let h(x)=f(x)g(x). If f(x)=-3x and g(x)=-4x^2+x-4, what is h'(x)? Select the correct answer below: (-3)(-4x^2+x-4)+(-3x)(-8x+1) (-3)(-8x+1)+(-3x)(-4x^2+x-4) (-3)(-8x+1) (-3)(-4x^2+x-4) (-3x)(-3)+(-4x^2+x-4)(-8x+1)