MAC 2311 Chain Rule Consider h(x) = sin(22). h(r) is a composition of two functions, where...

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MAC 2311 Chain Rule Consider h(x) = sin(22). h(r) is a composition of two functions, where h(r) = (fog)(x) = f(g(x)). 4. Identify each of the following f(x)=sin(x) f(x) = cos(x) 5. Complete the following table. 1=-6 1=1 x=4 -12 cos(36) 2 cos(1) 8 cos(16) f'(x) COS(6) COSC) g(t) = 9' (z) = g(x) ( (05 (4) 16 8. State the general formula found in #7 in words. x 2 V 7. Give the general formula for h'(z) if h(z) = f(g(z)). 2 36 (OS(36) f'(g(x)) COSC) COS (16) 6. Find a formula for h'(r) if h(r)=sin(2), using the functions f. 9 and/or their derivatives. h(x)=sin(x²) n'(x) = cos(x²2x h'(x) = 2 (0 S (x²) -12 2 8 MAC 2311 Chain Rule Consider h(x) = sin(22). h(r) is a composition of two functions, where h(r) = (fog)(x) = f(g(x)). 4. Identify each of the following f(x)=sin(x) f(x) = cos(x) 5. Complete the following table. 1=-6 1=1 x=4 -12 cos(36) 2 cos(1) 8 cos(16) f'(x) COS(6) COSC) g(t) = 9' (z) = g(x) ( (05 (4) 16 8. State the general formula found in #7 in words. x 2 V 7. Give the general formula for h'(z) if h(z) = f(g(z)). 2 36 (OS(36) f'(g(x)) COSC) COS (16) 6. Find a formula for h'(r) if h(r)=sin(2), using the functions f. 9 and/or their derivatives. h(x)=sin(x²) n'(x) = cos(x²2x h'(x) = 2 (0 S (x²) -12 2 8

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