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Suppose that functions ƒ and g and their derivatives with x have following values at x = 2 and x = 3
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3.6 THE CHAIN RULE Ex87
數學系卡安很閒 所以決定拯救沒辦法用slader和chegg的莘莘學子
87Suppose that functions ƒ and g and their derivatives with respect
to x have the following values at x = 2 and x = 3.
Find the derivatives with respect to x of the following combinations at the given value of x.
a. 2ƒ(x), x = 2
b. ƒ(x) + g(x), x = 3
c. ƒ(x)。g(x), x = 3
d. ƒ(x)/g(x), x = 2
e. ƒ(g(x)), x = 2
f. sqrt(ƒ(x)), x = 2
g. 1/(g(x))^2 , x = 3
h. sqrt( ƒ^2(x) + g^2(x)), x = 2
數學系卡安很閒 所以決定拯救沒辦法用slader和chegg的莘莘學子
87Suppose that functions ƒ and g and their derivatives with respect
to x have the following values at x = 2 and x = 3.
Find the derivatives with respect to x of the following combinations at the given value of x.
a. 2ƒ(x), x = 2
b. ƒ(x) + g(x), x = 3
c. ƒ(x)。g(x), x = 3
d. ƒ(x)/g(x), x = 2
e. ƒ(g(x)), x = 2
f. sqrt(ƒ(x)), x = 2
g. 1/(g(x))^2 , x = 3
h. sqrt( ƒ^2(x) + g^2(x)), x = 2
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