1. Using Definition of Derivative to find f'(x): a) f(x) = 2x² b) f(x) = x³ c) f(x)=√x+1 d) f(x) == e) f(x) = 2x³ 2. Find f'(x): f) f(x) = √6 g) f(x)= x²(x³ + 5) h) f(x) = √2x + (+2) i) f(x) = (+) (3x³ +27) j) f(x) = 3x+4 x²+1 k) f(x) = (x³ + x)(x²-x) 1) f(x) = (3x+²)(x-5 + 1) m) f(x) = =+ sinx n) f(x) = x² cos x + 4 sin x o) f(x) = sin x 3. Use implicit differentiation to find dx p) 5y2 + sin y = x² 9) + = 1 r) x cos y = y s) 2x²-3y² = 4 1) y + siny = x

Q: ●y = (x+1)² √x+1 W= t+1 t-1 -t -)×(1-1 1-2t

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A: We write f(x) using exponents f(x)=x7+x2+a+2xa+2f(x)=x7+x2+(a+2)x-(a+2)

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Q: Vx 3+x (g(x)) if g(x) = 3x +2 + S, * ** dx c) %3D

A: I applied Leibnitz rule

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A: Here we find the derivatives of function.

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Q: f(x)Vx² f(x) = 10* 2 f(x) = (х+1)

A: We know that ddxxn = n·xn-1 ddxax = ax lna ddxuv = v·ddxu - u·ddxvv2

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Q: (

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Q: Find the second derivative or f"(x) for f(x) = / 2x + 5. %3D 1 (2x + 5)3/2 (2x + 5)!/2 (2x + 5)3/2…

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