Question

Let f(x) and g(x) be differentiable functions such that f(3) = 2, f'(3) = 4, g(3) = 5, and g'(3) = 3 If h(x) = f(x) \cdot g(x), then find h'(3). Give the exact value. NO DECIMALS. h'(3) =

          Let f(x) and g(x) be differentiable functions such that
f(3) = 2, f'(3) = 4, g(3) = 5, and g'(3) = 3
If h(x) = f(x) \cdot g(x), then find h'(3).
Give the exact value. NO DECIMALS.
h'(3) =

Let f(x) and g(x) be differentiable functions such that
f(3) = 2, f'(3) = 4, g(3) = 5, and g'(3) = 3
If h(x) = f(x) ·g(x), then find h'(3).
Give the exact value. NO DECIMALS.
h'(3) =

Added by Sara D.

Calculus: Early Transcendentals

James Stewart 8th Edition

Instant Answer

Solved by Expert Vishal Parmar

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). So, applying the product rule, we have: h'(x) = f'(x)g(x) + f(x)g'(x) Now, let's substitute the given values into this equation: h'(3) = f'(3)g(3) + f(3)g'(3) We are given that Show more…

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Let f(x) and g(x) be differentiable functions such that f'(3)=2, f'(4)=4, g'(3)=5, and g'(3)=3. If h(x)=f(x)g(x), then find h'(3). Give the exact value. NO DECIMALS. h'(3)=