Suppose that the functions and g and their derivatives with respect to x have the following
Question:
Suppose that the functions ƒ and g and their derivatives with respect to x have the following values at x = 0 and x = 1.
Find the derivatives with respect to x of the following combinations at the given value of x.
a. 5ƒ(x) - g(x), x = 1
b. ƒ(x)g3(x), x = 0
c.
d. ƒ(g(x)), x = 0
e. g(ƒ(x)), x = 0
f. (x11 + ƒ(x))-2, x = 1
g. ƒ(x + g(x)), x = 0
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ANSWER a To find the derivative of 5x gx with respect to x at x 1 we first find the derivatives of x and gx at x 1 using the values given 1 13 g1 13 T...View the full answer
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Related Book For 
Thomas Calculus Early Transcendentals
ISBN: 9780321884077
13th Edition
Authors: Joel R Hass, Christopher E Heil, Maurice D Weir
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