- #1
xxChrisxx
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It's been years since I've done maths properly so I'm rusty with it. I'm helping out a colleague at work who is studying maths for an OU course.
Part 1: Differentiate function.
f(x) = e^(0.5x+cos(x))
Part 2: Use answer from part 1 to show.
g(x) = (1+2sinx)(e^(0.5x+cos(x)))
Has the derivative:
g'(x) = 0.5(4cos^2(x)+4cos(x)-3)(e^(0.5x+cos(x)))
A=e^(0.5x+cos(x))
Part 1:
Using chain rule
f'(x) = A(0.5-sin(x))
Part 2:
Using this and the product rule I get.
g'(x) = 0.5A(4cos(x)-4sin^2(x)+1)
Which isn't the same.
Homework Statement
Part 1: Differentiate function.
f(x) = e^(0.5x+cos(x))
Part 2: Use answer from part 1 to show.
g(x) = (1+2sinx)(e^(0.5x+cos(x)))
Has the derivative:
g'(x) = 0.5(4cos^2(x)+4cos(x)-3)(e^(0.5x+cos(x)))
The Attempt at a Solution
A=e^(0.5x+cos(x))
Part 1:
Using chain rule
f'(x) = A(0.5-sin(x))
Part 2:
Using this and the product rule I get.
g'(x) = 0.5A(4cos(x)-4sin^2(x)+1)
Which isn't the same.